# 2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

20

## 全文

(1)

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

(3) (x−2)2 (4) (x−3)2

(5) (b−3)2 (6) (x−2)2

## 2.

(1) (x−5)(x−4) (2) (y+ 2)(y+ 1)

(3) (b+ 2)(b+ 5) (4) (b−2)(b+ 3)

(5) (b−9)(b+ 5) (6) (x+ 3)(x+ 6)

(7) (a+ 8)(a+ 5) (8) (y+ 3)(y+ 2)

(9) (a−1)(a−4)

## 3.

(1) (x−3)(x+ 3) (2) (y+ 1)(y−1)

(3) (x+ 9)(x−9) (4) (y+ 9)(y−9)

## 4.

(1) (x+ 3)(x+ 4) (2) (y−1)(y+ 1)

(3) (y−1)2 (4) (a−5)(a−4)

(2)

(1) (x+ 3)2

2

(2) (y+ 5)2

2

(3) (x−2)2

2

(4) (x−3)2

2

(5) (b−3)2

2

(6) (x−2)2

2

(1) (x−5)(x−4)

2

(2) (y+ 2)(y+ 1)

2

(3) (b+ 2)(b+ 5)

2

(4) (b−2)(b+ 3)

2

(5) (b−9)(b+ 5)

2

(6) (x+ 3)(x+ 6)

2

(7) (a+ 8)(a+ 5)

2

(8) (y+ 3)(y+ 2)

2

(9) (a−1)(a−4)

2

(1) (x−3)(x+ 3)

2

(2) (y+ 1)(y−1)

2

(3) (x+ 9)(x−9)

2

(4) (y+ 9)(y−9)

2

## 4.

(1) (x+ 3)(x+ 4)

2

(2) (y−1)(y+ 1)

2

(3) (y−1)2

2

(4) (a−5)(a−4)

2

### + 20

(3)

(1) (x−4)2 (2) (b+ 2)2

(3) (a+ 4)2 (4) (b

−3)2

(5) (x−9)2 (6) (b+ 4)2

## 2.

(1) (a−2)(a+ 5) (2) (x+ 5)(x+ 3)

(3) (y+ 1)(y+ 3) (4) (y−3)(y+ 1)

(5) (y+ 1)(y+ 4) (6) (x−4)(x−8)

(7) (b−5)(b+ 8) (8) (x+ 3)(x−1)

(9) (b−5)(b−6)

## 3.

(1) (a−3)(a+ 3) (2) (x−5)(x+ 5)

(3) (a+ 9)(a−9) (4) (x+ 1)(x−1)

## 4.

(1) (x+ 4)(x−5) (2) (x−2)2

(3) (y+ 4)(y−2) (4) (b−5)(b+ 7)

(4)

(1) (x−4)2

2

(2) (b+ 2)2

2

(3) (a+ 4)2

2

(4) (b

−3)2

2

(5) (x−9)2

2

(6) (b+ 4)2

2

(1) (a−2)(a+ 5)

2

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

2

(3) (y+ 1)(y+ 3)

2

(4) (y−3)(y+ 1)

2

(5) (y+ 1)(y+ 4)

2

(6) (x−4)(x−8)

2

(7) (b−5)(b+ 8)

2

(8) (x+ 3)(x−1)

2

(9) (b−5)(b−6)

2

(1) (a−3)(a+ 3)

2

(2) (x−5)(x+ 5)

2

(3) (a+ 9)(a−9)

2

(4) (x+ 1)(x−1)

2

## 4.

(1) (x+ 4)(x−5)

2

(2) (x−2)2

2

(3) (y+ 4)(y−2)

2

(4) (b−5)(b+ 7)

2

### 35

(5)

(1) (a+ 4)2 (2) (b

−5)2

(3) (b−3)2 (4) (x−9)2

(5) (x−5)2 (6) (x+ 2)2

## 2.

(1) (x−1)(x+ 4) (2) (x−2)(x+ 4)

(3) (a+ 5)(a+ 4) (4) (x−3)(x−2)

(5) (a+ 4)(a+ 9) (6) (x+ 3)(x−4)

(7) (y−1)(y−5) (8) (x−4)(x+ 7)

(9) (y+ 2)(y+ 9)

## 3.

(1) (a−2)(a+ 2) (2) (x+ 4)(x−4)

(3) (b−1)(b+ 1) (4) (x−6)(x+ 6)

## 4.

(1) (a+ 2)(a−4) (2) (x−3)2

(3) (x+ 1)(x−1) (4) (y−5)(y+ 5)

(6)

(1) (a+ 4)2

2

(2) (b

−5)2

2

(3) (b−3)2

2

(4) (x−9)2

2

(5) (x−5)2

2

(6) (x+ 2)2

2

(1) (x−1)(x+ 4)

2

(2) (x−2)(x+ 4)

2

(3) (a+ 5)(a+ 4)

2

(4) (x−3)(x−2)

2

(5) (a+ 4)(a+ 9)

2

(6) (x+ 3)(x−4)

2

(7) (y−1)(y−5)

2

(8) (x−4)(x+ 7)

2

(9) (y+ 2)(y+ 9)

2

(1) (a−2)(a+ 2)

2

(2) (x+ 4)(x−4)

2

(3) (b−1)(b+ 1)

2

(4) (x−6)(x+ 6)

2

## 4.

(1) (a+ 2)(a−4)

2

(2) (x−3)2

2

(3) (x+ 1)(x−1)

2

(4) (y−5)(y+ 5)

2

### 25

(7)

(1) (b−5)2 (2) (x−1)2

(3) (x+ 4)2 (4) (x

−3)2

(5) (x+ 9)2 (6) (x

−9)2

## 2.

(1) (a+ 3)(a+ 5) (2) (x−4)(x−3)

(3) (a+ 2)(a−3) (4) (b+ 2)(b+ 5)

(5) (x−1)(x+ 6) (6) (x+ 1)(x+ 4)

(7) (y+ 1)(y+ 3) (8) (y+ 7)(y+ 1)

(9) (x−7)(x+ 9)

## 3.

(1) (x+ 4)(x−4) (2) (x+ 5)(x−5)

(3) (y−8)(y+ 8) (4) (x−3)(x+ 3)

## 4.

(1) (y+ 5)(y+ 4) (2) (b−2)(b−3)

(3) (x+ 3)(x−4) (4) (y−7)(y+ 7)

(8)

(1) (b−5)2

2

(2) (x−1)2

2

(3) (x+ 4)2

2

(4) (x

−3)2

2

(5) (x+ 9)2

2

(6) (x

−9)2

2

(1) (a+ 3)(a+ 5)

2

(2) (x−4)(x−3)

2

(3) (a+ 2)(a−3)

2

(4) (b+ 2)(b+ 5)

2

(5) (x−1)(x+ 6)

2

(6) (x+ 1)(x+ 4)

2

(7) (y+ 1)(y+ 3)

2

(8) (y+ 7)(y+ 1)

2

(9) (x−7)(x+ 9)

2

(1) (x+ 4)(x−4)

2

(2) (x+ 5)(x−5)

2

(3) (y−8)(y+ 8)

2

(4) (x−3)(x+ 3)

2

## 4.

(1) (y+ 5)(y+ 4)

2

(2) (b−2)(b−3)

2

(3) (x+ 3)(x−4)

2

(4) (y−7)(y+ 7)

2

### 49

(9)

(1) (y−4)2 (2) (a−2)2

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

−7)2

(5) (y+ 4)2 (6) (x+ 7)2

## 2.

(1) (a+ 4)(a+ 1) (2) (x−3)(x−2)

(3) (y+ 1)(y+ 5) (4) (x+ 3)(x−2)

(5) (a−8)(a−6) (6) (x−6)(x+ 4)

(7) (y−7)(y−6) (8) (b−4)(b+ 7)

(9) (a−2)(a−6)

## 3.

(1) (x+ 2)(x−2) (2) (b−3)(b+ 3)

(3) (x+ 2)(x−2) (4) (x−2)(x+ 2)

## 4.

(1) (b−1)2 (2) (x−5)(x+ 3)

(3) (x−1)(x+ 2) (4) (y+ 2)(y+ 4)

(5) (x+ 3)2 (6) (b+ 1)(b

(10)

(1) (y−4)2

2

(2) (a−2)2

2

(3) (a+ 1)2

2

(4) (x

−7)2

2

(5) (y+ 4)2

2

(6) (x+ 7)2

2

(1) (a+ 4)(a+ 1)

2

(2) (x−3)(x−2)

2

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

2

(4) (x+ 3)(x−2)

2

(5) (a−8)(a−6)

2

(6) (x−6)(x+ 4)

2

(7) (y−7)(y−6)

2

(8) (b−4)(b+ 7)

2

(9) (a−2)(a−6)

2

(1) (x+ 2)(x−2)

2

(2) (b−3)(b+ 3)

2

(3) (x+ 2)(x−2)

2

(4) (x−2)(x+ 2)

2

## 4.

(1) (b−1)2

2

(2) (x−5)(x+ 3)

2

(3) (x−1)(x+ 2)

2

(4) (y+ 2)(y+ 4)

2

(5) (x+ 3)2

2

### + 9

(6) (b+ 1)(b

(11)

(1) (a+ 4)2 (2) (b

−2)2

(3) (x+ 2)2 (4) (x

−4)2

(5) (y+ 3)2 (6) (x

−2)2

## 2.

(1) (a−4)(a−5) (2) (y−1)(y−3)

(3) (a+ 4)(a+ 2) (4) (y+ 1)(y−3)

(5) (x−9)(x+ 2) (6) (x−1)(x+ 9)

(7) (x+ 9)(x−3) (8) (x−9)(x+ 3)

(9) (x+ 2)(x−6)

## 3.

(1) (y−4)(y+ 4) (2) (x+ 2)(x−2)

(3) (y−2)(y+ 2) (4) (x+ 7)(x−7)

## 4.

(1) (x−2)2 (2) (x−4)(x−5)

(3) (y−4)2 (4) (b+ 1)(b−9)

(12)

(1) (a+ 4)2

2

(2) (b

−2)2

2

(3) (x+ 2)2

2

(4) (x

−4)2

2

(5) (y+ 3)2

2

(6) (x

−2)2

2

(1) (a−4)(a−5)

2

(2) (y−1)(y−3)

2

(3) (a+ 4)(a+ 2)

2

(4) (y+ 1)(y−3)

2

(5) (x−9)(x+ 2)

2

(6) (x−1)(x+ 9)

2

(7) (x+ 9)(x−3)

2

(8) (x−9)(x+ 3)

2

(9) (x+ 2)(x−6)

2

(1) (y−4)(y+ 4)

2

(2) (x+ 2)(x−2)

2

(3) (y−2)(y+ 2)

2

(4) (x+ 7)(x−7)

2

## 4.

(1) (x−2)2

2

(2) (x−4)(x−5)

2

(3) (y−4)2

2

(4) (b+ 1)(b−9)

2

### 9

(13)

(1) (b−1)2 (2) (a−3)2

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

−8)2

(5) (x−2)2 (6) (x−5)2

## 2.

(1) (b−4)(b+ 2) (2) (b−1)(b−4)

(3) (b−2)(b+ 5) (4) (a−2)(a+ 4)

(5) (b+ 6)(b+ 4) (6) (x+ 6)(x−3)

(7) (x−5)(x−1) (8) (y−6)(y−2)

(9) (x+ 4)(x+ 5)

## 3.

(1) (a−1)(a+ 1) (2) (x+ 3)(x−3)

(3) (x+ 2)(x−2) (4) (y−3)(y+ 3)

## 4.

(1) (x+ 5)(x−5) (2) (x+ 1)(x−4)

(3) (y−4)(y+ 5) (4) (a−9)(a+ 9)

(14)

(1) (b−1)2

2

(2) (a−3)2

2

(3) (y+ 2)2

2

(4) (x

−8)2

2

(5) (x−2)2

2

(6) (x−5)2

2

(1) (b−4)(b+ 2)

2

(2) (b−1)(b−4)

2

(3) (b−2)(b+ 5)

2

(4) (a−2)(a+ 4)

2

(5) (b+ 6)(b+ 4)

2

(6) (x+ 6)(x−3)

2

(7) (x−5)(x−1)

2

(8) (y−6)(y−2)

2

(9) (x+ 4)(x+ 5)

2

(1) (a−1)(a+ 1)

2

(2) (x+ 3)(x−3)

2

(3) (x+ 2)(x−2)

2

(4) (y−3)(y+ 3)

2

## 4.

(1) (x+ 5)(x−5)

2

(2) (x+ 1)(x−4)

2

(3) (y−4)(y+ 5)

2

(4) (a−9)(a+ 9)

2

### 81

(15)

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

(3) (x+ 4)2 (4) (x

−1)2

(5) (b−9)2 (6) (b+ 2)2

## 2.

(1) (x+ 5)(x+ 1) (2) (a−5)(a+ 2)

(3) (x+ 1)(x−3) (4) (x+ 1)(x+ 3)

(5) (a+ 1)(a−9) (6) (a+ 3)(a−7)

(7) (x−5)(x+ 8) (8) (x+ 1)(x+ 7)

(9) (y+ 8)(y+ 7)

## 3.

(1) (a+ 1)(a−1) (2) (y−3)(y+ 3)

(3) (x+ 1)(x−1) (4) (a+ 1)(a−1)

## 4.

(1) (b+ 4)2 (2) (b+ 2)(b+ 1)

(3) (y−5)(y−1) (4) (a+ 3)(a−5)

(16)

(1) (x+ 1)2

2

(2) (x+ 3)2

2

(3) (x+ 4)2

2

(4) (x

−1)2

2

(5) (b−9)2

2

(6) (b+ 2)2

2

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

2

(2) (a−5)(a+ 2)

2

(3) (x+ 1)(x−3)

2

(4) (x+ 1)(x+ 3)

2

(5) (a+ 1)(a−9)

2

(6) (a+ 3)(a−7)

2

(7) (x−5)(x+ 8)

2

(8) (x+ 1)(x+ 7)

2

(9) (y+ 8)(y+ 7)

2

(1) (a+ 1)(a−1)

2

(2) (y−3)(y+ 3)

2

(3) (x+ 1)(x−1)

2

(4) (a+ 1)(a−1)

2

## 4.

(1) (b+ 4)2

2

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

2

(3) (y−5)(y−1)

2

(4) (a+ 3)(a−5)

2

### 15

(17)

(1) (b−2)2 (2) (a+ 1)2

(3) (x−3)2 (4) (y+ 6)2

(5) (y+ 5)2 (6) (y

−9)2

## 2.

(1) (x−3)(x+ 5) (2) (x−4)(x−3)

(3) (x−4)(x−2) (4) (x+ 5)(x−3)

(5) (x−7)(x+ 3) (6) (y+ 6)(y−4)

(7) (x+ 2)(x+ 5) (8) (x−1)(x−8)

(9) (x+ 6)(x−3)

## 3.

(1) (x+ 2)(x−2) (2) (x−1)(x+ 1)

(3) (x+ 2)(x−2) (4) (x+ 9)(x−9)

## 4.

(1) (b+ 2)(b−5) (2) (y+ 5)(y−2)

(3) (a−5)(a−4) (4) (a−1)(a+ 4)

(18)

(1) (b−2)2

2

(2) (a+ 1)2

2

(3) (x−3)2

2

(4) (y+ 6)2

2

(5) (y+ 5)2

2

(6) (y

−9)2

2

(1) (x−3)(x+ 5)

2

(2) (x−4)(x−3)

2

(3) (x−4)(x−2)

2

(4) (x+ 5)(x−3)

2

(5) (x−7)(x+ 3)

2

(6) (y+ 6)(y−4)

2

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

2

(8) (x−1)(x−8)

2

(9) (x+ 6)(x−3)

2

(1) (x+ 2)(x−2)

2

(2) (x−1)(x+ 1)

2

(3) (x+ 2)(x−2)

2

(4) (x+ 9)(x−9)

2

## 4.

(1) (b+ 2)(b−5)

2

(2) (y+ 5)(y−2)

2

(3) (a−5)(a−4)

2

(4) (a−1)(a+ 4)

2

### 4

(19)

(1) (x−3)2 (2) (y−1)2

(3) (b−4)2 (4) (x+ 3)2

(5) (y+ 7)2 (6) (b+ 2)2

## 2.

(1) (x−3)(x−2) (2) (x+ 3)(x+ 4)

(3) (x+ 2)(x+ 4) (4) (y−1)(y−3)

(5) (x−1)(x−3) (6) (x−4)(x+ 8)

(7) (a+ 6)(a−7) (8) (x−5)(x−1)

(9) (b−6)(b−9)

## 3.

(1) (y+ 1)(y−1) (2) (x−2)(x+ 2)

(3) (x+ 2)(x−2) (4) (a+ 2)(a−2)

## 4.

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

−2)2

(3) (x+ 3)(x−5) (4) (x−1)2

(20)

(1) (x−3)2

2

(2) (y−1)2

2

(3) (b−4)2

2

(4) (x+ 3)2

2

(5) (y+ 7)2

2

(6) (b+ 2)2

2

(1) (x−3)(x−2)

2

(2) (x+ 3)(x+ 4)

2

(3) (x+ 2)(x+ 4)

2

(4) (y−1)(y−3)

2

(5) (x−1)(x−3)

2

(6) (x−4)(x+ 8)

2

(7) (a+ 6)(a−7)

2

(8) (x−5)(x−1)

2

(9) (b−6)(b−9)

2

(1) (y+ 1)(y−1)

2

(2) (x−2)(x+ 2)

2

(3) (x+ 2)(x−2)

2

(4) (a+ 2)(a−2)

2

(1) (b+ 3)2

2

(2) (x

−2)2

2

(3) (x+ 3)(x−5)

2

(4) (x−1)2

2

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