5ページ目の練習 展開・因数分解 数学・算数の教材公開ページ

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(1)

(1) ³y 2

3 ´2

(2) (x−1) ³

x+ 1 2

´

(3) ³b+ 1 3

´ ³

b+ 3 2

´

(4) ³x 8

3 ´ ³

x+ 8 3

´

(5) ³x− 4

3 ´ ³

x+ 8 3

´

(6) ³x+ 5 2

´

(x+ 1)

(7) ³x 5

3 ´ ³

x+ 5 3

´

(8) ³y 1

5 ´ ³

y 4

3 ´

(9) ³a+ 3 2

´ ³

a 6

5 ´

(10) ³x+ 5 4

´ ³

x+ 4 3

´

(11) (4x+ 1)2 (12) ³3b 8

3 ´ ³

3b+ 8 3

´

(13) (3y3) (3y+ 2) (14) ³

2x 5

3 ´ ³

2x+ 5 2

´

(15) (3x+ 3)³3x− 5

2 ´

(16) ³3x+ 8 5

´ ³

3x+ 3 5

´

(17) ³5x+ 8 3

´

(5x2) (18) ³2x 1

4 ´ ³

2x 1

5 ´

(2)

(1) ³y− 2

3 ´2

=

y

2

4

3

y

+

4

9

(2) (x−1) ³

x+ 1 2

´

=

x

2

1

2

x

1

2

(3) ³b+ 1 3

´ ³

b+ 3 2

´

=

b

2

+

11

6

b

+

1

2

(4) ³

x 8

3 ´ ³

x+ 8 3

´

=

x

2

64

9

(5) ³x− 4

3 ´ ³

x+ 8 3

´

=

x

2

+

4

3

x

32

9

(6)

³

x+ 5 2

´

(x+ 1)

=

x

2

+

7

2

x

+

5

2

(7) ³x 5

3 ´ ³

x+ 5 3

´

=

x

2

25

9

(8)

³

y 1

5 ´ ³

y 4

3 ´

=

y

2

23

15

y

+

4

15

(9) ³a+ 3 2

´ ³

a 6

5 ´

=

a

2

+

3

10

a

9

5

(10) ³

x+ 5 4

´ ³

x+ 4 3

´

=

x

2

+

31

12

x

+

5

3

(11) (4x+ 1)2

= 16

x

2

+ 8

x

+ 1

(12) ³

3b 8

3 ´ ³

3b+ 8 3

´

= 9

b

2

64

9

(13) (3y−3) (3y+ 2)

= 9

y

2

3

y

6

(14) ³

2x 5

3 ´ ³

2x+ 5 2

´

= 4

x

2

+

5

3

x

25

6

(15) (3x+ 3)³3x− 5

2 ´

= 9

x

2

+

3

2

x

15

2

(16) ³3x+ 8 5

´ ³

3x+ 3 5

´

= 9

x

2

+

33

5

x

+

24

25

(17) ³5x+ 8 3

´

(5x2)

= 25

x

2

+

10

3

x

16

3

(18) ³2x 1

4 ´ ³

2x 1

5 ´

= 4

x

2

9

10

x

+

1

20

(3)

(1) ³a− 4

3 ´ ³

a+ 4 3

´

(2) ³y− 3

2 ´ ³

y+ 3 2

´

(3) ³x 5

3 ´ ³

x 5

2 ´

(4) ³b+ 8 3

´ ³

b 2

3 ´

(5) ³x+ 7 2

´ ³

x− 7

2

´ (6)

(a2) (a+ 2)

(7) (x−1) (x+ 1) (8) ³x+ 7

2 ´ ³

x+ 7 3

´

(9) (a1)³a 7

5 ´

(10) ³x+ 5 4

´

(x4)

(11) ³4y+ 1 3

´

(4y+ 2) (12) (5a+ 2)³5a+ 1 3

´

(13) ³3x+ 7 2

´ ³

3x+ 7 3

´

(14) ³3b− 5

2 ´2

(15) ³4x+ 1 3

´ ³

4x− 1

3 ´

(16) ³3y− 5

4 ´ ³

3y+ 7 3

´

(17) (4y3)³4y 7

2 ´

(18) ³3b+ 3 5

´ ³

3b+ 7 5

´

(19) (3b3)³3b 7

4 ´

(20) (4x1)³4x 3

(4)

(1) ³a− 4

3 ´ ³

a+ 4 3

´

=

a

2

16

9

(2)

³

y− 3

2 ´ ³

y+ 3 2

´

=

y

2

9

4

(3) ³x 5

3 ´ ³

x 5

2 ´

=

x

2

25

6

x

+

25

6

(4) ³b+ 8 3

´ ³

b 2

3 ´

=

b

2

+ 2

b

16

9

(5) ³x+ 7 2

´ ³

x− 7

2 ´

=

x

2

49

4

(6) (a2) (a+ 2)

=

a

2

4

(7) (x1) (x+ 1)

=

x

2

1

(8)

³

x+ 7 2

´ ³

x+ 7 3

´

=

x

2

+

35

6

x

+

49

6

(9) (a1)³a 7

5 ´

=

a

2

12

5

a

+

7

5

(10) ³

x+ 5 4

´

(x4)

=

x

2

11

4

x

5

(11) ³4y+ 1 3

´

(4y+ 2)

= 16

y

2

+

28

3

y

+

2

3

(12) (5a+ 2)³5a+ 1 3

´

= 25

a

2

+

35

3

a

+

2

3

(13) ³3x+ 7 2

´ ³

3x+ 7 3

´

= 9

x

2

+

35

2

x

+

49

6

(14) ³3b 5

2 ´2

= 9

b

2

15

b

+

25

4

(15) ³4x+ 1 3

´ ³

4x− 1

3 ´

= 16

x

2

1

9

(16)

³

3y− 5

4 ´ ³

3y+ 7 3

´

= 9

y

2

+

13

4

y

35

12

(17) (4y3)³4y 7

2 ´

= 16

y

2

26

y

+

21

2

(18) ³3b+ 3 5

´ ³

3b+ 7 5

´

= 9

b

2

+ 6

b

+

21

25

(19) (3b3)³3b 7

4 ´

= 9

b

2

57

b

+

21

(20) (4x1)³4x 3

2 ´

= 16

x

2

(5)

(1) ³x+ 7 2

´

(x+ 1) (2) ³b+ 7

2 ´2

(3) (x3) (x+ 3) (4) (b4)2

(5) ³x− 8

3 ´ ³

x+ 4 3

´

(6) ³b− 5

3 ´ ³

b+ 3 2

´

(7) (x3)³x+ 1 3

´

(8) (x4)³x 1

3 ´

(9) (b+ 2)2 (10) (a+ 1)2

(11) (5x+ 4) (5x−4) (12) (4x−2) (4x+ 2)

(13) ³2x 7

3 ´ ³

2x 5

3 ´

(14) ³4x+ 1 2

´ ³

4x 1

2 ´

(15) (3a+ 3)³3a+ 7 3

´

(16) ³3b+ 5 4

´ ³

3b− 8

5 ´

(17) ³5x 6

5 ´ ³

5x 3

5 ´

(18) ³5x 6

5 ´

(5x+ 4)

(19) ³3a 1

5 ´ ³

3a+ 1 5

´

(20) (2x+ 2)³2x 7

(6)

(1) ³x+ 7 2

´

(x+ 1)

=

x

2

+

9

2

x

+

7

2

(2)

³

b+ 7 2

´2

=

b

2

+ 7

b

+

49

4

(3) (x−3) (x+ 3)

=

x

2

9

(4) (b−4)2

=

b

2

8

b

+ 16

(5) ³x− 8

3 ´ ³

x+ 4 3

´

=

x

2

4

3

x

32

9

(6)

³

b− 5

3 ´ ³

b+ 3 2

´

=

b

2

1

6

b

5

2

(7) (x3)³x+ 1 3

´

=

x

2

8

3

x

1

(8) (x−4) ³

x 1

3 ´

=

x

2

13

3

x

+

4

3

(9) (b+ 2)2

=

b

2

+ 4

b

+ 4

(10) (a+ 1)2

=

a

2

+ 2

a

+ 1

(11) (5x+ 4) (5x4)

= 25

x

2

16

(12) (4x2) (4x+ 2)

= 16

x

2

4

(13) ³2x 7

3 ´ ³

2x 5

3 ´

= 4

x

2

8

x

+

35

9

(14) ³4x+ 1 2

´ ³

4x 1

2 ´

= 16

x

2

1

4

(15) (3a+ 3)³3a+ 7 3

´

= 9

a

2

+ 16

a

+ 7

(16) ³3b+ 5 4

´ ³

3b− 8

5 ´

= 9

b

2

21

20

b

2

(17) ³5x 6

5 ´ ³

5x 3

5 ´

= 25

x

2

9

x

+

18

25

(18) ³5x 6

5 ´

(5x+ 4)

= 25

x

2

+ 14

x

24

5

(19) ³3a− 1

5 ´ ³

3a+ 1 5

´

= 9

a

2

1

25

(20)

(2x+ 2)³2x 7

2 ´

= 4

x

2

(7)

(1) ³b+ 7 3

´

(b−1) (2) (x+ 4) (x−3)

(3) ³x+ 7 3

´2 (4) (x+ 4) (x

−2)

(5) (x4) (x1) (6) (a

−1) ³

a+ 7 3

´

(7) ³y+ 3 2

´ ³

y 3

2 ´

(8) ³a 3

2 ´ ³

a+ 3 2

´

(9) ³x 7

3 ´ ³

x+ 1 2

´

(10) (b1)³b+ 8 5

´

(11) (2x−2) (2x+ 2) (12) ³4b+ 2

3 ´

(4b+ 3)

(13) (3a+ 2)³3a 7

2

´ (14)

(3x2) (3x+ 1)

(15) (5x3)2 (16) ³4a 5

4 ´ ³

4a+ 5 4

´

(17) ³3y+ 1 2

´ ³

3y 1

2 ´

(18) ³3a+ 3 2

´

(3a2)

(19) ³4y+ 7 3

´ ³

4y 7

3 ´

(20) ³4x+ 8 3

´ ³

4x 8

(8)

(1) ³b+ 7 3

´

(b−1)

=

b

2

+

4

3

b

7

3

(2) (x+ 4) (x3)

=

x

2

+

x

12

(3) ³x+ 7 3

´2

=

x

2

+

14

3

x

+

49

9

(4) (x+ 4) (x−2)

=

x

2

+ 2

x

8

(5) (x4) (x1)

=

x

2

5

x

+ 4

(6) (a −1)

³

a+ 7 3

´

=

a

2

+

4

3

a

7

3

(7) ³y+ 3 2

´ ³

y 3

2 ´

=

y

2

9

4

(8)

³

a 3

2 ´ ³

a+ 3 2

´

=

a

2

9

4

(9) ³x 7

3 ´ ³

x+ 1 2

´

=

x

2

11

6

x

7

6

(10) (b−1) ³

b+ 8 5

´

=

b

2

+

3

5

b

8

5

(11) (2x2) (2x+ 2)

= 4

x

2

4

(12) ³

4b+ 2 3

´

(4b+ 3)

= 16

b

2

+

44

3

b

+ 2

(13) (3a+ 2)³3a 7

2 ´

= 9

a

2

9

2

a

7

(14) (3x−2) (3x+ 1)

= 9

x

2

3

x

2

(15) (5x3)2

= 25

x

2

30

x

+ 9

(16) ³

4a− 5

4 ´ ³

4a+ 5 4

´

= 16

a

2

25

16

(17) ³3y+ 1 2

´ ³

3y 1

2 ´

= 9

y

2

1

4

(18)

³

3a+ 3 2

´

(3a2)

= 9

a

2

3

2

a

3

(19) ³4y+ 7 3

´ ³

4y− 7

3 ´

= 16

y

2

49

9

(20)

³

4x+ 8 3

´ ³

4x− 8

3 ´

= 16

x

2

(9)

(1) ³x− 5

3 ´ ³

x+ 5 3

´

(2) ³b− 1

2 ´

(b+ 2)

(3) ³x 1

3 ´ ³

x+ 8 3

´

(4) ³y 7

3 ´ ³

y 2

3 ´

(5) (x+ 2)³x+ 1 2

´

(6) ³y+ 2 5

´ ³

y− 8

5 ´

(7) (a+ 3)³a+ 3 2

´ (8)

(a−3) (a+ 3)

(9) ³x 1

4 ´ ³

x 5

4 ´

(10) ³x 3

4 ´ ³

x+ 3 4

´

(11) (2x+ 3) (2x−3) (12) ³4a − 1

3 ´

(4a+ 1)

(13) (3b+ 3)³3b 1

2 ´

(14) ³3x 8

3 ´

(3x2)

(15) (4b+ 4)2 (16) ³4a+ 3

5 ´ ³

4a− 3

4 ´

(17) ³4y 3

2 ´ ³

4y+ 7 4

´

(18) ³2a 3

5 ´ ³

2a+ 1 3

´

(19) (4a+ 2)³4a 6

5 ´

(20) ³2b 6

5 ´ ³

2b+ 8 5

(10)

(1) ³x− 5

3 ´ ³

x+ 5 3

´

=

x

2

25

9

(2)

³

b− 1

2 ´

(b+ 2)

=

b

2

+

3

2

b

1

(3) ³x 1

3 ´ ³

x+ 8 3

´

=

x

2

+

7

3

x

8

9

(4) ³

y 7

3 ´ ³

y 2

3 ´

=

y

2

3

y

+

14

9

(5) (x+ 2)³x+ 1 2

´

=

x

2

+

5

2

x

+ 1

(6)

³

y+ 2 5

´ ³

y− 8

5 ´

=

y

2

6

5

y

16

25

(7) (a+ 3)³a+ 3 2

´

=

a

2

+

9

2

a

+

9

2

(8) (a3) (a+ 3)

=

a

2

9

(9) ³x 1

4 ´ ³

x 5

4 ´

=

x

2

3

2

x

+

5

16

(10) ³

x 3

4 ´ ³

x+ 3 4

´

=

x

2

9

16

(11) (2x+ 3) (2x3)

= 4

x

2

9

(12) ³

4a− 1

3 ´

(4a+ 1)

= 16

a

2

+

8

3

a

1

3

(13) (3b+ 3)³3b 1

2 ´

= 9

b

2

+

15

2

b

3

2

(14)

³

3x 8

3 ´

(3x2)

= 9

x

2

14

x

+

16

3

(15) (4b+ 4)2

= 16

b

2

+ 32

b

+ 16

(16) ³4a+ 3

5 ´ ³

4a− 3

4 ´

= 16

a

2

3

5

a

9

20

(17) ³4y 3

2 ´ ³

4y+ 7 4

´

= 16

y

2

+

y

21

8

(18) ³2a 3

5 ´ ³

2a+ 1 3

´

= 4

a

2

8

15

a

1

5

(19) (4a+ 2)³4a 6

5 ´

= 16

a

2

+

16

a

12

(20) ³2b 6

5 ´ ³

2b+ 8 5

´

= 4

b

2

+

4

b

(11)

(1) (x4)2 (2) ³y+ 7 3

´

(y+ 2)

(3) ³x 1

3 ´ ³

x+ 3 2

´

(4) (y+ 1)³y 5

3 ´

(5) ³x+ 4 3

´

(x+ 1) (6) ³x− 5

2 ´ ³

x+ 5 2

´

(7) ³b+ 4 5

´ ³

b+ 3 4

´

(8) ³x+ 3 2

´2

(9) ³x+ 1 4

´

(x+ 4) (10) ³x 8

5 ´ ³

x 7

4 ´

(11) (3y−4) (3y−2) (12) ³5x+ 8

3 ´ ³

5x+ 1 3

´

(13) (2x+ 4)³2x 5

3 ´

(14) ³3x− 4

3 ´2

(15) ³5x+ 7 2

´ ³

5x− 7

2 ´

(16) ³4x+ 1 2

´ ³

4x− 2

3 ´

(17) (2x−2) (2x−1) (18) ³

2x+ 4 5

´2

(19) ³4x+ 1 3

´2

(20) ³3x+ 8 5

´ ³

3x 5

(12)

(1) (x4)2

=

x

2

8

x

+ 16

(2) ³

y+ 7 3

´

(y+ 2)

=

y

2

+

13

3

y

+

14

3

(3) ³x 1

3 ´ ³

x+ 3 2

´

=

x

2

+

7

6

x

1

2

(4) (y+ 1) ³

y 5

3 ´

=

y

2

2

3

y

5

3

(5) ³x+ 4 3

´

(x+ 1)

=

x

2

+

7

3

x

+

4

3

(6)

³

x− 5

2 ´ ³

x+ 5 2

´

=

x

2

25

4

(7) ³b+ 4 5

´ ³

b+ 3 4

´

=

b

2

+

31

20

b

+

3

5

(8) ³

x+ 3 2

´2

=

x

2

+ 3

x

+

9

4

(9) ³x+ 1 4

´

(x+ 4)

=

x

2

+

17

4

x

+ 1

(10) ³

x 8

5 ´ ³

x 7

4 ´

=

x

2

67

20

x

+

14

5

(11) (3y4) (3y2)

= 9

y

2

18

y

+ 8

(12) ³

5x+ 8 3

´ ³

5x+ 1 3

´

= 25

x

2

+ 15

x

+

8

9

(13) (2x+ 4)³2x 5

3 ´

= 4

x

2

+

14

3

x

20

3

(14) ³3x 4

3 ´2

= 9

x

2

8

x

+

16

9

(15) ³5x+ 7 2

´ ³

5x− 7

2 ´

= 25

x

2

49

4

(16)

³

4x+ 1 2

´ ³

4x− 2

3 ´

= 16

x

2

2

3

x

1

3

(17) (2x2) (2x1)

= 4

x

2

6

x

+ 2

(18) ³2x+ 4 5

´2

= 4

x

2

+

16

5

x

+

16

25

(19) ³4x+ 1 3

´2

= 16

x

2

+

8

3

x

+

1

9

(20)

³

3x+ 8 5

´ ³

3x 5

4 ´

(13)

(1) (a−2) ³

a+ 2 3

´

(2) (x+ 1)2

(3) (x3)³x+ 7 3

´

(4) ³x+ 1 2

´ ³

x 8

3 ´

(5) ³a− 7

3 ´ ³

a+ 7 3

´

(6) ³b+ 6 5

´2

(7) ³x 3

2 ´ ³

x 7

3 ´

(8) ³x+ 1 5

´ ³

x 1

5 ´

(9) ³x 2

5 ´ ³

x 5

4 ´

(10) (a+ 1)2

(11) ³4x+ 7 3

´2

(12) ³4y+ 8 3

´ ³

4y− 8

3 ´

(13) (5x+ 3) (5x+ 2) (14) (5x+ 1)³

5x 5

2 ´

(15) (4x1) (4x+ 1) (16) ³

4b+ 7 4

´ ³

4b+ 7 2

´

(17) ³5y+ 5 2

´

(5y4) (18) ³5x+ 2

5 ´

(5x4)

(19) ³3x+ 7 2

´ ³

3x+ 2 5

´

(20) ³3x 3

2 ´

(14)

(1) (a−2) ³

a+ 2 3

´

=

a

2

4

3

a

4

3

(2) (x+ 1)2

=

x

2

+ 2

x

+ 1

(3) (x3)³x+ 7 3

´

=

x

2

2

3

x

7

(4)

³

x+ 1 2

´ ³

x 8

3 ´

=

x

2

13

6

x

4

3

(5) ³a− 7

3 ´ ³

a+ 7 3

´

=

a

2

49

9

(6)

³

b+ 6 5

´2

=

b

2

+

12

5

b

+

36

25

(7) ³x 3

2 ´ ³

x 7

3 ´

=

x

2

23

6

x

+

7

2

(8)

³

x+ 1 5

´ ³

x 1

5 ´

=

x

2

1

25

(9) ³x 2

5 ´ ³

x 5

4 ´

=

x

2

33

20

x

+

1

2

(10) (a+ 1)2

=

a

2

+ 2

a

+ 1

(11) ³4x+ 7 3

´2

= 16

x

2

+

56

3

x

+

49

9

(12) ³

4y+ 8 3

´ ³

4y 8

3 ´

= 16

y

2

64

9

(13) (5x+ 3) (5x+ 2)

= 25

x

2

+ 25

x

+ 6

(14) (5x+ 1)³5x 5

2 ´

= 25

x

2

15

2

x

5

2

(15) (4x1) (4x+ 1)

= 16

x

2

1

(16) ³4b+ 7

4 ´ ³

4b+ 7 2

´

= 16

b

2

+ 21

b

+

49

8

(17) ³5y+ 5 2

´

(5y4)

= 25

y

2

15

2

y

10

(18) ³5x+ 2 5

´

(5x4)

= 25

x

2

18

x

8

5

(19) ³3x+ 7 2

´ ³

3x+ 2 5

´

= 9

x

2

+

117

x

+

7

(20) ³3x− 3

2 ´

(3x+ 3)

= 9

x

2

+

9

2

x

(15)

(1) ³a+ 8 3

´ ³

a− 8

3 ´

(2) ³x− 1

2 ´ ³

x+ 1 2

´

(3) ³y+ 2 3

´

(y+ 3) (4) ³x+ 7

3 ´ ³

x 1

2 ´

(5) (b3) (b+ 1) (6) ³

x+ 7 3

´ ³

x− 5

4 ´

(7) ³b 5

2 ´ ³

b+ 5 2

´

(8) ³a+ 1 3

´2

(9) (a+ 4) (a4) (10) ³

y+ 3 2

´ ³

y+ 3 4

´

(11) ³3y 1

3 ´2

(12) ³5a+ 1 2

´ ³

5a+ 1 3

´

(13) (2x3)³2x+ 5 2

´

(14) ³4y 1

2 ´ ³

4y 5

2 ´

(15) ³5x− 7

2 ´ ³

5x+ 8 3

´

(16) ³2a+ 8 5

´ ³

2a+ 1 2

´

(17) ³4b− 4

3 ´2

(18) ³4x 7

3 ´ ³

4x+ 3 4

´

(19) ³5y+ 7 3

´2

(20) ³5a+ 8 5

´ ³

5a 8

(16)

(1) ³a+ 8 3

´ ³

a− 8

3 ´

=

a

2

64

9

(2)

³

x− 1

2 ´ ³

x+ 1 2

´

=

x

2

1

4

(3) ³y+ 2 3

´

(y+ 3)

=

y

2

+

11

3

y

+ 2

(4) ³

x+ 7 3

´ ³

x 1

2 ´

=

x

2

+

11

6

x

7

6

(5) (b3) (b+ 1)

=

b

2

2

b

3

(6) ³

x+ 7 3

´ ³

x− 5

4 ´

=

x

2

+

13

12

x

35

12

(7) ³b 5

2 ´ ³

b+ 5 2

´

=

b

2

25

4

(8)

³

a+ 1 3

´2

=

a

2

+

2

3

a

+

1

9

(9) (a+ 4) (a−4)

=

a

2

16

(10) ³y+ 3 2

´ ³

y+ 3 4

´

=

y

2

+

9

4

y

+

9

8

(11) ³3y 1

3 ´2

= 9

y

2

2

y

+

1

9

(12)

³

5a+ 1 2

´ ³

5a+ 1 3

´

= 25

a

2

+

25

6

a

+

1

6

(13) (2x3)³2x+ 5 2

´

= 4

x

2

x

15

2

(14) ³

4y 1

2 ´ ³

4y 5

2 ´

= 16

y

2

12

y

+

5

4

(15) ³5x− 7

2 ´ ³

5x+ 8 3

´

= 25

x

2

25

6

x

28

3

(16) ³2a+ 8 5

´ ³

2a+ 1 2

´

= 4

a

2

+

21

5

a

+

4

5

(17) ³4b 4

3 ´2

= 16

b

2

32

3

b

+

16

9

(18)

³

4x 7

3 ´ ³

4x+ 3 4

´

= 16

x

2

19

3

x

7

4

(19) ³5y+ 7 3

´2

= 25

y

2

+

70

3

y

+

49

9

(20) ³

5a+ 8 5

´ ³

5a− 8

5 ´

= 25

a

2

(17)

(1) (a+ 4)³a+ 4 3

´

(2) (x+ 2)³x+ 3 2

´

(3) ³x 7

2 ´

(x2) (4) (y+ 3)2

(5) ³x+ 1 3

´ ³

x+ 1 2

´ (6)

(x2) (x+ 2)

(7) ³x+ 1 2

´2

(8) ³y 1

4 ´ ³

y+ 1 4

´

(9) ³x+ 7 4

´2

(10) ³b 7

4 ´ ³

b+ 1 4

´

(11) ³4x− 1

2 ´ ³

4x+ 2 3

´

(12) ³2y+ 4 3

´2

(13) ³2x+ 3 2

´

(2x1) (14) ³5x 5

2 ´2

(15) ³5b− 1

2 ´ ³

5b+ 2 3

´

(16) ³2a+ 5 4

´ ³

2a− 5

4 ´

(17) ³2a− 2

3 ´2

(18) ³2a+ 2 5

´2

(19) (2x4)³2x+ 8 3

´

(20) ³5y+ 8 5

(18)

(1) (a+ 4)³a+ 4 3

´

=

a

2

+

16

3

a

+

16

3

(2) (x+ 2) ³

x+ 3 2

´

=

x

2

+

7

2

x

+ 3

(3) ³x 7

2 ´

(x2)

=

x

2

11

2

x

+ 7

(4) (y+ 3)2

=

y

2

+ 6

y

+ 9

(5) ³x+ 1 3

´ ³

x+ 1 2

´

=

x

2

+

5

6

x

+

1

6

(6) (x2) (x+ 2)

=

x

2

4

(7) ³x+ 1 2

´2

=

x

2

+

x

+

1

4

(8)

³

y 1

4 ´ ³

y+ 1 4

´

=

y

2

1

16

(9) ³x+ 7 4

´2

=

x

2

+

7

2

x

+

49

16

(10)

³

b 7

4 ´ ³

b+ 1 4

´

=

b

2

3

2

b

7

16

(11) ³4x− 1

2 ´ ³

4x+ 2 3

´

= 16

x

2

+

2

3

x

1

3

(12) ³2y+ 4 3

´2

= 4

y

2

+

16

3

y

+

16

9

(13) ³2x+ 3 2

´

(2x1)

= 4

x

2

+

x

3

2

(14) ³

5x 5

2 ´2

= 25

x

2

25

x

+

25

4

(15) ³5b− 1

2 ´ ³

5b+ 2 3

´

= 25

b

2

+

5

6

b

1

3

(16) ³2a+ 5 4

´ ³

2a− 5

4 ´

= 4

a

2

25

16

(17) ³2a 2

3 ´2

= 4

a

2

8

3

a

+

4

9

(18)

³

2a+ 2 5

´2

= 4

a

2

+

8

5

a

+

4

25

(19) (2x4)³2x+ 8 3

´

= 4

x

2

8

x

32

(20) ³5y+ 8 5

´2

(19)

(1) (a+ 2)2 (2) (a3)³a 1 3

´

(3) ³x+ 7 3

´ ³

x 5

2 ´

(4) (a−2)2

(5) (x+ 2) (x2) (6) ³

x− 3

2 ´

(x−4)

(7) ³y 7

4 ´ ³

y 7

3 ´

(8) ³b 7

5 ´ ³

b+ 5 4

´

(9) ³a 3

2 ´ ³

a+ 3 2

´

(10) ³x+ 7 4

´ ³

x+ 5 2

´

(11) ³4y+ 7 3

´ ³

4y+ 4 3

´

(12) ³5b+ 5 3

´

(5b+ 1)

(13) ³3x− 7

2 ´2

(14) ³3a+ 1 2

´ ³

3a+ 7 2

´

(15) (5y−3) ³

5y− 1

2 ´

(16) (5y−3) ³

5y+ 5 2

´

(17) ³3b− 1

2

´2 (18) (5a+ 3) (5a

−3)

(19) ³2b 7

4 ´ ³

2b+ 6 5

´ (20)

(20)

(1) (a+ 2)2

=

a

2

+ 4

a

+ 4

(2)

(a−3) ³

a− 1

3 ´

=

a

2

10

3

a

+ 1

(3) ³x+ 7 3

´ ³

x 5

2 ´

=

x

2

1

6

x

35

6

(4) (a−2)2

=

a

2

4

a

+ 4

(5) (x+ 2) (x2)

=

x

2

4

(6) ³x − 3

2 ´

(x−4)

=

x

2

11

2

x

+ 6

(7) ³y 7

4 ´ ³

y 7

3 ´

=

y

2

49

12

y

+

49

12

(8) ³b 7

5 ´ ³

b+ 5 4

´

=

b

2

3

20

b

7

4

(9) ³a 3

2 ´ ³

a+ 3 2

´

=

a

2

9

4

(10)

³

x+ 7 4

´ ³

x+ 5 2

´

=

x

2

+

17

4

x

+

35

8

(11) ³4y+ 7 3

´ ³

4y+ 4 3

´

= 16

y

2

+

44

3

y

+

28

9

(12) ³5b+ 5 3

´

(5b+ 1)

= 25

b

2

+

40

3

b

+

5

3

(13) ³3x 7

2 ´2

= 9

x

2

21

x

+

49

4

(14)

³

3a+ 1 2

´ ³

3a+ 7 2

´

= 9

a

2

+ 12

a

+

7

4

(15) (5y−3) ³

5y− 1

2 ´

= 25

y

2

35

2

y

+

3

2

(16) (5y−3) ³

5y+ 5 2

´

= 25

y

2

5

2

y

15

2

(17) ³3b 1

2 ´2

= 9

b

2

3

b

+

1

4

(18) (5a+ 3) (5a3)

= 25

a

2

9

(19) ³2b 7

4 ´ ³

2b+ 6 5

´

= 4

b

2

11

b

21

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