内容正文:
—25— —26—
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1.
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(x+1)(x-1) .
2.
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:2a2-4a+2= 2(a-1)2 .
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uvå;Ê
x2-y2
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-32 .
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x2-mx+n
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(x+2)(x+5),
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:(1)am+an+bm+bn=(am+bm)+(an+bn)
=m(a+b)+n(a+b)=(a+b)(m+n).
(2)x2-y2-2y-1=x2-(y2+2y+1)=x2-(y+1)2
=(x+y+1)(x-y-1).
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:a2+2ab+ac+bc+b2= (a+b)(a+b+c) .
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7.
IJìÊ<»ð¶9Î/
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A.x-y=-(x-y) B.-a+b=-(a+b)
C.(y-x)2=(x-y)2 D.(a-b)3=(b-a)3
8.
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A.m2-16=(m+4)(m-4) B.m2+4m=m(m+4)
C.m2-8m+16=(m-4)2 D.m2+3m+9=(m+3)2
9.
IJ�Ê#¢Te9<
( C )
A.2x2-xy-x=2x(x-y-1)
B.-xy2+2xy-3y=-y(xy-2x-3)
C.x(x-y)-y(x-y)=(x-y)2
D.x2-2x+1=x(x-2)+1
10.(x-1)2-9
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( B )
A.(x+8)(x+1) B.(x+2)(x-4)
C.(x-2)(x+4) D.(x-10)(x+8)
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x2-2x+1
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A.x-1 B.x+1 C.x2-1 D.(x-1)2
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A.m(x+3)2 B.m(x+3)(x-3)
C.m(x-4)2 D.m(x-3)2
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D
x2+mx-15=(x+3)(x+n)
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( C )
A.-5 B.5 C.-2 D.2
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A.x2y2-z2=x2(y+z)(y-z)
B.-x2y+4xy-5y=-y(x2+4x+5)
C.(x+2)2-9=(x+5)(x-1)
D.9-12a+4a2=-(3-2a)2
—27— —28—
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A.a(a+4b)(a-4b) B.a(a2-4b2)
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ax2-4ax+4a
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A.a(x-2)2 B.a(x+2)2
C.a(x-4)2 D.a(x+2)(x-2)
17.
IJXgÊ
:①16x2-x;② (x-1)2-4(x-1);③ (x+1)2-4x(x+1)+
4x2;④ -4x2-1+4x,�Ê#¢c,�t(í8^��Ê9<( D )
A.①Z② B.③Z④ C.①Z④ D.②Z③
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18.(8
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(1)4x3-8x2+4x;
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:4x3-8x2+4x=4x(x2-2x+1)=4x(x-1)2
(2)9(x+y+z)2-(x-y-z)2.
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:9(x+y+z)2-(x-y-x)2
=[3(x+y+z)-(x-y-z)][3(x+y+z)+(x-y-z)]
=(2x+4y+4z)(4x+2y+2z)
=4(x+2y+2z)(2x+y+z)
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gj�Ê#¢mï
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1-22+32-42+52-62+…+992-1002+1012.
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=1+(3+2)(3-2)+(5+4)(5-4)+… +