# ３回目 展開・因数分解 数学・算数の教材公開ページ

(1)

## 1.

(1) −x2−x (2) 9m2−12m

(3) b2+ 5b (4) 3c2+ 3c

(5) 3a2+ 4a (6) −4y2−3y

(7) −3b2+ 4b (8) −4y2+ 4y

## 2.

(1) −x2−xy (2) −3y2−12yz

(3) x2 +xy (4) 8x2+ 6xy

(5) 5p2+ 4pq (6)

−12m2+ 20mn

(7) 4p2−4pq (8) −20m2+ 16mn

## 3.

(1) −m2+ 2mn (2) 6y2−10y

(3) 15c2+ 6c (4)

−2b2+ 6b

(5) 4b2+ 12bc (6)

−6z2+ 9z

(7) 20x2+ 12xy (8)

−4x2−5x

(2)

## 4.

(1) x2

−10x+ 25 (2) a2+ 10a+ 25

(3) b2+ 4b+ 4 (4) b2

−4b+ 4

(5) x2 −14x+ 49 (6) b2+ 4b+ 4

## 5.

(1) x2 + 9x+ 20 (2) b2

−3b+ 2

(3) x2

−3x−10 (4) x2+x−2

(5) y2

−5y−14 (6) a2−9a+ 18

(7) b2−b−6 (8) x2+x−30

(9) y2+y −56

## 6.

(1) x2

−16 (2) a2−4

(3) b2−64 (4) y2−4

## 7.

(1) x2 + 8x+ 16 (2) a2+ 7a+ 10

(3) x2

−7x+ 12 (4) x2−14x+ 48

(5) x2

(3)

(3) 9x2+ 24x+ 16 (4) 9x2

−30x+ 25

## 9.

(1) x2 −7x+ 6 (2) x2−9x+ 20

(3) y2

−2y−8 (4) y2−2y−15

(5) a2

−9a+ 18 (6) a2+ 10a+ 16

## 10.

(1) 4b2−1 (2) 4x2−9

(3) 9b2−4 (4) 9x2−16

## 11.

(1) b2+b

−20 (2) 25x2−16

(3) 4a2

−12a+ 9 (4) x2−4x−12

(5) y2+ 15y+ 56 (6) x2−2x−8

(7) 25x2+ 20x+ 4 (8) a2+ 10a+ 16

(9) 4a2

−1 (10) 25x2+ 30x+ 9

(4)

## 12.

(1) −2x2+ 2x (2) −2n2−3n

(3) 15x2−9xy (4) −8x2−6xy

(5) 4x2+ 6xy

## 13.

(1) 4x2−12x+ 9 (2) 4x2−25

(3) y2

−3y−54 (4) x2−7x−8

(5) 25x2+ 10x+ 1 (6) 9a2

−1

(7) 4a2−1 (8) 25y2−1

(9) a2+ 7a

−18 (10) a2−7a−18

(11) x2 −8x+ 15 (12) x2+ 3x−28

(13) y2

−5y−24 (14) b2+ 7b−8

(15) 25a2−1 (16) b2−4b−32

(17) b2

−7b+ 10 (18) 25x2−9

(5)

(1) −x2−x

(2) 9m2−12m

(3) b2+ 5b

(4) 3c2+ 3c

(5) 3a2+ 4a

(6) −4y2−3y

(7) −3b2+ 4b

(8) −4y2+ 4y

(1) −x2−xy

(2) −3y2−12yz

(3) x2 +xy

(4) 8x2+ 6xy

(5) 5p2+ 4pq

(6) −12m2+ 20mn

(7) 4p2

−4pq

(8) −20m2+ 16mn

(1) −m2+ 2mn

(2) 6y2−10y

(3) 15c2+ 6c

(4)

−2b2+ 6b

(5) 4b2+ 12bc

(6)

−6z2+ 9z

(7) 20x2+ 12xy

(8) −4x2−5x

(6)

## 4.

(1) x2

−10x+ 25

### 5)

2 (2) a2+ 10a+ 25

2

(3) b2+ 4b+ 4

2 (4) b2−4b+ 4

2

(5) x2

−14x+ 49

2 (6) b2+ 4b+ 4

2

(1) x2 + 9x+ 20

(2) b2−3b+ 2

(3) x2

−3x−10

(4) x2+x−2

(5) y2

−5y−14

(6) a2−9a+ 18

(7) b2

−b−6

(8) x2+x−30

(9) y2+y−56

(1) x2

−16

(2) a2−4

(3) b2

−64

(4) y2−4

## 7.

(1) x2 + 8x+ 16

2 (2) a2+ 7a+ 10

(3) x2 −7x+ 12

(4) x2−14x+ 48

(5) x2

(7)

(1) 4x + 20x+ 25

(2) 25x 20x+ 4

(3) 9x2+ 24x+ 16

### + 4)

2 (4) 9x2−30x+ 25

2

(1) x2

−7x+ 6

(2) x2−9x+ 20

(3) y2−2y−8

(4) y2−2y−15

(5) a2

−9a+ 18

(6) a2+ 10a+ 16

(1) 4b2

−1

(2) 4x2−9

(3) 9b2−4

(4) 9x2−16

## 11.

(1) b2+b−20

(2) 25x2−16

(3) 4a2−12a+ 9

2 (4) x2−4x−12

(5) y2+ 15y+ 56

(6) x2

−2x−8

(7) 25x2+ 20x+ 4

### + 2)

2 (8) a2+ 10a+ 16

(9) 4a2−1

### 1)

(10) 25x2+ 30x+ 9

2

(11) 9b2

(8)

(1) −2x2+ 2x

(2) −2n2−3n

(3) 15x2

−9xy

(4) −8x2−6xy

(5) 4x2+ 6xy

(1) 4x2

−12x+ 9

2 (2) 4x2−25

(3) y2

−3y−54

(4) x2−7x−8

(5) 25x2+ 10x+ 1

2 (6) 9a2−1

(7) 4a2

−1

(8) 25y2−1

(9) a2+ 7a−18

(10) a2−7a−18

(11) x2

−8x+ 15

(12) x2+ 3x−28

(13) y2

−5y−24

(14) b2+ 7b−8

(15) 25a2−1

(16) b2−4b−32

(17) b2

−7b+ 10

(18) 25x2−9

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