分解因式:(1).x2(x-1)-4(1-x)2 (2),(a+b)(a+b-6)+9 (3)、(x2+1)2-4(x2+1)+4

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分解因式:(1).x2(x-1)-4(1-x)2(2),(a+b)(a+b-6)+9(3)、(x2+1)2-4(x2+1)+4分解因式:(1).x2(x-1)-4(1-x)2(2),(a+b)(a+b

分解因式:(1).x2(x-1)-4(1-x)2 (2),(a+b)(a+b-6)+9 (3)、(x2+1)2-4(x2+1)+4
分解因式:(1).x2(x-1)-4(1-x)2 (2),(a+b)(a+b-6)+9 (3)、(x2+1)2-4(x2+1)+4

分解因式:(1).x2(x-1)-4(1-x)2 (2),(a+b)(a+b-6)+9 (3)、(x2+1)2-4(x2+1)+4
(1).x^2(x-1)-4(1-x)^2
=x^2(x-1)-4(x-1)^2
= (x-1)[x^2-4(x-1)]
=(x-1)(x-2)^2
(2),(a+b)(a+b-6)+9
=(a+b)^2-6(a+b)+9
=(a+b-3)^2
(3)(x^2+1)^2-4(x^2+1)+4
=[(x^2+1)-2]^2
=(x^2-1)^2
=(x+1)^2(x-1)^2

(1).x2(x-1)-4(1-x)2
=(x^2-4)(x-1)
=(x+2)(x-2)(x-1)
(2),(a+b)(a+b-6)+9
=(a+b)^2-6(a+b)+9
=(a+b-3)^2
(3)(x2+1)2-4(x2+1)+4
=(x^2+1-2)^2
=(x^2-1)^2
=(x+1)^2(x-1)^2

1.(x-1)(x2+4)
2.(a+b)(a+b-6)+9
=(a+b)² -6(a+b)+9
=(a+b-3)²
3.2(x2+1-2x2-2+2)=2(1-x2)
.

(1)=(x-1)(x-2)²
(3)=[(x²+1)-2]²=(x²-1)²=(x+1)²(x-1)²

1. (x-1)(x2+4)
2.(a+b-3)2
3.(x2-1)2