■ 展開公式
(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.
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(1)
(x+3)2
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x2+6x+9
x2−6x+9
x2+3x+9
x2−3x+9
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x2+6x−9
x2−6x−9
x2+9
x2−9
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(2)
(x−7)2
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x2+7x+49
x2−7x+49
x2+7x+14
x2−7x+14
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x2+14x+49
x2−14x+49
x2+49
x2−49
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(3)
(−x+5)2
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−x2+10x+25
−x2−10x+25
x2+10x+25
x2−10x+25
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−x2+5x+10
−x2−5x+10
x2+49
−x2+49
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(4)
(−x−8)2
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x2+16x+64
x2+16x−64
x2−16x+64
x2−16x−64
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−x2+16+64
−x2+16x−64
−x2−16x+64
−x2−16x−64
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(5)
(a−6)2
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x2+12x+36
x2−12x+36
a2+12a+36
a2−12a+36
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x2+6x+12
x2−6x+12
a2+36
a2−36
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(6)
(2x+3)2
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x2+6x+3
x2+6x+9
2x2+6x+9
2x2+12x+9
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4x2+3x+9
4x2+6x+9
4x2+12x+3
4x2+12x+9
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(7)
(−3a−4)2
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9x2+12x+16
9x2−12x+16
9a2+24a+16
9a2−24a+16
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−9x2+24x−16
−9x2−24x−16
−9a2+24a+16
−9a2−24a−16
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(8)
(4x+5y)2
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16x2+20x+10
16x2+40x+25
16x2+20xy+10y2
16x2+40xy+25y2
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8x2+20x+10
8x2+40x+10
8x2+20x+10y2
8x2+40x+10y2
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(9)
(−2a+7b)2
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4ax2+28ab+49b2
4a2−28ab+49b2
4a2+28a+49
4a2−28a+49
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−4a2+28ab−49b2
−4a2−28ab−49b2
−4a2+14ab+49b2
−4a2−14ab−49b2
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(10)
(x+. 12n )2
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(11)
(−x+. y3n )2
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(12)
(x+5)2+(x−5)2
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x2+25
2x2+50
20x
−20x
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10x
−10x
25
50
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(13)
(ax+by)2−(ax−by)2
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2a2x2+b2y2
4abxy
a2x2+b2y2
2abxy
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−2a2x2−2b2y2
−4abxy
−2a2x2−b2y2
−2abxy
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