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因式分解(1)x^3-xy^2+x^2-y^2 (2)x^4-6x^2y^2+9y^4 ( 3 )4x^2-4xy+y^2-81
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人气:253 ℃ 时间:2020-04-30 13:24:12
解答
(1)x^3-xy^2+x^2-y^2
==x^2(x+1)-y^2(x+1)
==(x+1)(x^2-y^2)
==(x+1)(x-y)(x+y)

(2)x^4-6x^2y^2+9y^4
==(x^2-3y^2)^2

( 3 )4x^2-4xy+y^2-81
==(2x+y)^2-81
==(2x+y-9)(2x+y+9)
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