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乗法の公式
■ 展開公式 → 携帯版は別頁
 (x+a)2=x2+2ax+a2
を用いて次の問題を解きなさい.


◇問題◇ 次の式を展開した式を右の欄から選びなさい.

(1)

(x+3)2

x2+6x+9
x2−6x+9
x2+3x+9
x2−3x+9
x2+6x−9
x2−6x−9
x2+9
x2−9

(2)

(x−7)2

x2+7x+49
x2−7x+49
x2+7x+14
x2−7x+14
x2+14x+49
x2−14x+49
x2+49
x2−49

(3)

(−x+5)2

−x2+10x+25
−x2−10x+25
x2+10x+25
x2−10x+25
−x2+5x+10
−x2−5x+10
x2+49
−x2+49

(4)

(−x−8)2

x2+16x+64
x2+16x−64
x2−16x+64
x2−16x−64
−x2+16+64
−x2+16x−64
−x2−16x+64
−x2−16x−64

(5)

(a−6)2

x2+12x+36
x2−12x+36
a2+12a+36
a2−12a+36
x2+6x+12
x2−6x+12
a2+36
a2−36

(6)

(2x+3)2

x2+6x+3
x2+6x+9
2x2+6x+9
2x2+12x+9
4x2+3x+9
4x2+6x+9
4x2+12x+3
4x2+12x+9

(7)

(−3a−4)2

9x2+12x+16
9x2−12x+16
9a2+24a+16
9a2−24a+16
−9x2+24x−16
−9x2−24x−16
−9a2+24a+16
−9a2−24a−16

(8)

(4x+5y)2

16x2+20x+10
16x2+40x+25
16x2+20xy+10y2
16x2+40xy+25y2
8x2+20x+10
8x2+40x+10
8x2+20x+10y2
8x2+40x+10y2

(9)

(−2a+7b)2

4ax2+28ab+49b2
4a2−28ab+49b2
4a2+28a+49
4a2−28a+49
−4a2+28ab−49b2
−4a2−28ab−49b2
−4a2+14ab+49b2
−4a2−14ab−49b2

(10)

(x+ )2

x2+2x+

x2+2x+

x2+x+

x2+x+

x2+x+1

x2+2x+1

. x2+x+1

. x2+2x+1

(11)

(−x+ )2

−x2+2xy+y2

−x2+2xy+y2

−x2+xy+y2

−x2+xy+y2

x2+

x2+

x2−xy+

x2−xy+

(12)

(x+5)2+(x−5)2

x2+25
2x2+50
20x
−20x
10x
−10x
25
50

(13)

(ax+by)2−(ax−by)2

2a2x2+b2y2
4abxy
a2x2+b2y2
2abxy
−2a2x2−2b2y2
−4abxy
−2a2x2−b2y2
−2abxy
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