# ３回目 展開・因数分解 数学・算数の教材公開ページ

10

(1)

## 1.

(1) 2y(y+ 2) (2) −3m(3m+ 5)

(3) −2b(b+ 4) (4) −y(y−3)

(5) −4n(−5n−3) (6) 3a(a−1)

(7) −3a(−4a−5) (8) −3y(−3y−2)

## 2.

(1) −3m(5m−3n) (2) −3m(m+n)

(3) −2p(p+q) (4) −b(b+c)

(5) 2x(x−y) (6) −p(−2p−5q)

(7) −4y(2y+z) (8) 3x(5x−3y)

## 3.

(1) 3y(y+z) (2) n(2n3)

(3) x(x+ 4y) (4) x(x+ 3y)

(5) −y(−y+ 1) (6) −x(−x+ 2y)

(7) a(−5a−2b) (8) 2c(−c−3)

(2)

(3) (b2)2 (4) (b+ 8)2

(5) (x−8)2 (6) (x−9)2

## 5.

(1) (b+ 5)(b+ 2) (2) (x−2)(x−3)

(3) (x5)(x2) (4) (x+ 1)(x+ 2)

(5) (a+ 5)(a6) (6) (x+ 9)(x6)

(7) (a+ 8)(a+ 1) (8) (b+ 3)(b+ 2)

(9) (x−2)(x+ 5)

## 6.

(1) (a4)(a+ 4) (2) (a+ 1)(a1)

(3) (y+ 9)(y9) (4) (x1)(x+ 1)

## 7.

(1) (x−5)(x−2) (2) (x−3)2

(3) (x+ 3)(x3) (4) (x+ 9)(x9)

(3)

(3) (5x+ 1)2 (4) (5y+ 1)2

(5) (5y−1)2 (6) (5b+ 2)2

## 9.

(1) (3x+ 2)(3x−1) (2) (3b+ 4)(3b−5)

(3) (3x1)(3x+ 2) (4) (2y+ 5)(2y3)

(5) (2x+ 7)(2x+ 3) (6) (2x1)(2x+ 5)

(7) (2x−3)(2x−1) (8) (3b−5)(3b−2)

(9) (3y−1)(3y−2)

## 10.

(1) (2y+ 1)(2y1) (2) (3x+ 4)(3x4)

(3) (5a4)(5a+ 4) (4) (2x+ 5)(2x5)

## 11.

(1) (5b+ 3)2 (2) (5x

−4)2

(3) (3a+ 4)(3a4) (4) (2x+ 1)2

(4)

(3) 3a(a−2b) (4) −2a(a+ 2)

(5) −n(−2n+ 1)

## 13.

(1) (2y+ 3)(2y+ 5) (2) (2x+ 3)2

(3) (5x3)2 (4) (3x

−1)(3x−2)

(5) (3x+ 2)(3x+ 5) (6) (3x−5)(3x+ 1)

(7) (3y4)(3y+ 5) (8) (5b3)(5b3)

(9) (5a+ 2)2 (10) (2x+ 7)(2x −3)

(11) (5b+ 2)2 (12) (2b+ 7)(2b −3)

(13) (2y+ 1)(2y+ 7) (14) (2x+ 3)(2x3)

(15) (5x+ 1)(5x+ 1) (16) (2x+ 5)2

(5)

(1) y+ 1

2 (2) a− 3 a+ 13

(3) (y+ 2)³y− 8

3 ´

(4) ³y− 4

3 ´ ³

y− 5

3 ´

(5) ³x+ 1 3

´ ³

x+ 1 2

´

(6) ³y+ 3 2

´

(y+ 4)

(7) (a+ 2) (a2) (8) ³

y+ 6 5

´ ³

y+ 8 3

´

(9) ³y 3

4 ´2

(10) ³a− 8

3 ´ ³

a+ 8 3

´

(11) (3x+ 2)³3x 1

2 ´

(12) ³4a+ 7 3

´

(4a2)

(13) (2a−1)

³

2a+ 5 2

´

(14) ³2x+ 8 3

´ ³

2x− 7

3 ´

(15) ³2x+ 3 2

´ ³

2x 2

3 ´

(16) ³5a+ 4 3

´2

(17) ³2x 1

2 ´ ³

2x+ 1 2

´

(18) ³3x 1

2 ´

(3x1)

(19) (2b−3)

³

2b− 1

5 ´

(20) ³3x+ 4 5

(6)

(1) 2y(y+ 2)

2

(2) −3m(3m+ 5)

2

(3) −2b(b+ 4)

2

(4) −y(y−3)

2

(5) −4n(−5n−3)

2

(6) 3a(a−1)

2

(7) −3a(−4a−5)

2

(8) −3y(−3y−2)

2

(1) −3m(5m−3n)

2

(2) −3m(m+n)

2

(3) −2p(p+q)

2

(4) −b(b+c)

2

(5) 2x(xy)

2

(6) −p(−2p−5q)

2

(7) −4y(2y+z)

2

(8) 3x(5x−3y)

2

(1) 3y(y+z)

2

(2) n(2n3)

2

(3) x(x+ 4y)

2

(4) x(x+ 3y)

2

(5) −y(−y+ 1)

2

(6) −x(−x+ 2y)

2

(7)

(1) (x5)

(2) (x+ 5)

(3) (b−2)2

2

(4) (b+ 8)2

2

(5) (x8)2

2

(6) (x−9)2

2

(1) (b+ 5)(b+ 2)

2

(2) (x2)(x3)

2

(3) (x−5)(x−2)

2

(4) (x+ 1)(x+ 2)

2

(5) (a+ 5)(a−6)

2

(6) (x+ 9)(x−6)

2

(7) (a+ 8)(a+ 1)

2

(8) (b+ 3)(b+ 2)

2

(9) (x2)(x+ 5)

2

(1) (a−4)(a+ 4)

2

(2) (a+ 1)(a−1)

2

(3) (y+ 9)(y−9)

2

(4) (x−1)(x+ 1)

2

(1) (x5)(x2)

2

(2) (x3)2

2

(3) (x+ 3)(x3)

2

(4) (x+ 9)(x9)

2

(8)

(1) (3a4)

(2) (5b1)

(3) (5x+ 1)2

2

(4) (5y+ 1)2

2

(5) (5y1)2

2

(6) (5b+ 2)2

2

## 9.

(1) (3x+ 2)(3x1)

2

(2) (3b+ 4)(3b5)

2

### 20

(3) (3x−1)(3x+ 2)

2

### 2

(4) (2y+ 5)(2y−3)

2

### 15

(5) (2x+ 7)(2x+ 3)

2

### + 21

(6) (2x−1)(2x+ 5)

2

(7) (2x3)(2x1)

2

(8) (3b5)(3b2)

2

(9) (3y1)(3y2)

2

## 10.

(1) (2y+ 1)(2y−1)

2

### 1

(2) (3x+ 4)(3x−4)

2

### 16

(3) (5a−4)(5a+ 4)

2

### 16

(4) (2x+ 5)(2x−5)

2

(1) (5b+ 3)2

2

(2) (5x

−4)2

2

(3) (3a+ 4)(3a4)

2

(4) (2x+ 1)2

2

(9)

(1) n(3n5)

(2) −2y(3y−2)

(3) 3a(a2b)

2

(4) −2a(a+ 2)

2

(5) −n(−2n+ 1)

2

## 13.

(1) (2y+ 3)(2y+ 5)

2

(2) (2x+ 3)2

2

(3) (5x−3)2

2

(4) (3x−1)(3x−2)

2

### + 2

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

2

(6) (3x5)(3x+ 1)

2

### 5

(7) (3y−4)(3y+ 5)

2

(8) (5b−3)(5b−3)

2

(9) (5a+ 2)2

2

(10) (2x+ 7)(2x

−3)

2

(11) (5b+ 2)2

2

(12) (2b+ 7)(2b

−3)

2

### 21

(13) (2y+ 1)(2y+ 7)

2

### + 7

(14) (2x+ 3)(2x−3)

2

### 9

(15) (5x+ 1)(5x+ 1)

2

(16) (2x+ 5)2

2

### + 25

(17) (2x−3)(2x−5)

2

### + 15

(18) (5x−4)(5x+ 4)

2

(19) (3y+ 4)2

2

(20) (2x

(10)

(1) y+ 1

2

(2) a− 3 a+ 13

(3) (y+ 2)³y− 8

3 ´

2

(4)

³

y− 4

3 ´ ³

y− 5

3 ´

2

(5) ³x+ 1 3

´ ³

x+ 1 2

´

2

(6)

³

y+ 3 2

´

(y+ 4)

2

(7) (a+ 2) (a−2)

2

(8) ³y+ 6

5 ´ ³

y+ 8 3

´

2

(9) ³y 3

4 ´2

2

(10)

³

a 8

3 ´ ³

a+ 8 3

´

2

### 9

(11) (3x+ 2)³3x 1

2 ´

2

(12)

³

4a+ 7 3

´

(4a2)

2

(13) (2a−1)

³

2a+ 5 2

´

2

(14)

³

2x+ 8 3

´ ³

2x− 7

3 ´

2

(15) ³2x+ 3 2

´ ³

2x 2

3 ´

2

(16)

³

5a+ 4 3

´2

2

(17) ³2x− 1

2 ´ ³

2x+ 1 2

´

2

(18)

³

3x− 1

2 ´

(3x−1)

2

(19) (2b3)³2b 1

5 ´

2

(20)

³

3x+ 4 5

´2

2

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