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苏科版七年级下册数学补充习题第54页答案

2024-12-21 21:57| 查看: 1

 9.5多项式的因式分解(4)
1.C

2.把下列各式分解因式
(1)

=x²(x²-1)

=x²(x+1)(x-1)

(2)

=(x²-y²)(a-b)

=(x+y)(x-y)(a-b)

(3)

=-3x²(9x²-6x+1) 

=-3a²(3x-1)²


(4)

=y²(x⁴-1)

=y²(x²+1)(x²-1)

=y²(x²+1)(x+1)(x-1)


(5)

=(a²-b²)²

=[(a+b)(a-b)]² 

=(a+b)²(a-b)²


(6)

=[(a²-a)+(a-1)][(a²-a)-(a-1)] 

=(a²-1)(a²-2a+1)

=(a+1)(a-1)(a-1)² 

=(a+1)(a-1)³


3.

解:x³y-2x²y²+xy³=xy(x²-2xy+y²)=xy(x-y)²

将数值代入得:

原式=3×(-1)²=3

4.

(1)填空

21

63

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