因式分解:①(a+b)²-(a+b)②(a-b)²(a+b)-(b-a)(b+a)²③3(x-y)²-2x+2y

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因式分解:①(a+b)²-(a+b)②(a-b)²(a+b)-(b-a)(b+a)²③3(x-y)²-2x+2y
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因式分解:①(a+b)²-(a+b)②(a-b)²(a+b)-(b-a)(b+a)²③3(x-y)²-2x+2y
因式分解:①(a+b)²-(a+b)②(a-b)²(a+b)-(b-a)(b+a)²③3(x-y)²-2x+2y

因式分解:①(a+b)²-(a+b)②(a-b)²(a+b)-(b-a)(b+a)²③3(x-y)²-2x+2y
①(a+b)²-(a+b)
=(a+b)[(a+b)-1]
=(a+b)(a+b-1)
②(a-b)²(a+b)-(b-a)(b+a)²
=(a-b)²(a+b)+(a-b)(a+b)²
=(a-b)(a+b)[(a-b)+(a+b)]
=2a(a-b)(a+b)
③3(x-y)²-2x+2y
=3(x-y)²-2(x-y)
=(x-y)[3(x-y)-2]
=(x-y)(3x-3y-2)