分解因式①(x^2-y^2)(x+y)-(x-y)^3 ②4(x-1)^3y^2+(1-x)^3z^2 ③4a^2x^2-8a^2x+4a^2④3a(b^2+9)^2-108ab^2 ⑤x^3-16x

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分解因式①(x^2-y^2)(x+y)-(x-y)^3②4(x-1)^3y^2+(1-x)^3z^2③4a^2x^2-8a^2x+4a^2④3a(b^2+9)^2-108ab^2⑤x^3-16x分解因

分解因式①(x^2-y^2)(x+y)-(x-y)^3 ②4(x-1)^3y^2+(1-x)^3z^2 ③4a^2x^2-8a^2x+4a^2④3a(b^2+9)^2-108ab^2 ⑤x^3-16x
分解因式①(x^2-y^2)(x+y)-(x-y)^3 ②4(x-1)^3y^2+(1-x)^3z^2 ③4a^2x^2-8a^2x+4a^2
④3a(b^2+9)^2-108ab^2 ⑤x^3-16x

分解因式①(x^2-y^2)(x+y)-(x-y)^3 ②4(x-1)^3y^2+(1-x)^3z^2 ③4a^2x^2-8a^2x+4a^2④3a(b^2+9)^2-108ab^2 ⑤x^3-16x
(1)=(x-y)(x+y)^2-(x-y)^3=4xy(x-y)
(2)=(x-1)^3(4y^2-z^2)=(x-1)^3(2y-z)(2y+z)
(3)=4a^2(x^2-2x+1)=4a^2(x-1)^2
(4)=3a{(b^2+9)^2-36b^2}=3a(b^2-9)^2=3a(b-3)^2(b+3)^2
(5)=x(x^2-16)=x(x-4)(x+4)