因式分解:x-xy^2=_____,169x^2y^2-1=____.ab^3-a^3b=____,(x-y)^2-1=_____.x^3-16x^2+64x=______,2x^2-4x+2y^2=______.25(x-y)^2-10(x-y)+1=______
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因式分解:x-xy^2=_____,169x^2y^2-1=____.ab^3-a^3b=____,(x-y)^2-1=_____.x^3-16x^2+64x=______,2x^2-4x
+2y^2=______.25(x-y)^2-10(x-y)+1=______
x-xy^2
=x(1+y)(1-y)
169x^2y^2-1
=(13xy+1)(13xy-1)
ab^3-a^3b
=ab(b+a)(b-a)
(x-y)^2-1
=(x-y+1)(x-y-1)
x^3-16x^2+64x
=x(x^2-16x+64)
=x(x-8)^2
2x^2-4xy+2y^2
=2(x^2-2xy+y^2)
=2(x-y)^2
25(x-y)^2-10(x-y)+1
=[5(x-y)-1]^2
=(5x-5y-1)^2
因式分x-xy^2=x(1+y)(1-y)
169x^2y^2-1=__(13xy+1)(13xy-1)
ab^3-a^3b=ab(b+a)(b-a)
,(x-y)^2-1=_(x-y+1)(x-y-1)
x^3-16x^2+64x=x(x-8)²
2x^2-4x +2y^2=2(x²-2x+y²)
25(x-y)^2-10(x-y)+1=(5x-5y-1)²
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