分解因式:(y-x)²(a+b)-(x-y)(a-b)
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:(y-x)²(a+b)-(x-y)(a-b)
=(x-y)²(a+b)-(x-y)(a-b)
=(x-y)[(x-y)(a+b)-a+b]
=(x-y)(ax+bx-ay-by-a+b)
=(x-y)²(a+b)-(x-y)(a-b)
=(x-y)[(x-y)(a+b)-a+b]
=(x-y)(ax+bx-ay-by-a+b)
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(y-x)²(a+b)-(x-y)(a-b)
=(x-y)²(a+b)-(x-y)(a-b)
=(x-y)[(x-y)(a+b)-(a-b)]
=(x-y)(ax+bx-ay-by-a+b)
=(x-y)²(a+b)-(x-y)(a-b)
=(x-y)[(x-y)(a+b)-(a-b)]
=(x-y)(ax+bx-ay-by-a+b)
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原式=(y^2-2xy+x^2)(a+b)—(ax-bx-ay+by)
=(a+b)y^2-2(a+b)xy+(a+b)x^2-(a+b)x-(b-a)y
=(a+b)y^2-2(a+b)xy+(a+b)x^2-(a+b)x-(b-a)y
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(y-x)²(a+b)-(x-y)(a-b)
=(x-y)²(a+b)-(x-y)(a-b)
=(x-y)[(x-y)(a+b)-(a-b)]
=(x-y)(ax+bx-ay-by-a+b)
=(x-y)²(a+b)-(x-y)(a-b)
=(x-y)[(x-y)(a+b)-(a-b)]
=(x-y)(ax+bx-ay-by-a+b)
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评论
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