大师作文网(a-b)^3-(a-b) 分解因式
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(a-b)^3-(a-b) 分解因式
a-b)^3-(a-b)
5a^2b(x-y)^3-30ab^2(y-x)^2
(x^2+y^2)^2-4x^2y^2
x^2-2xy+y^2-9
a-b)^3-(a-b)
5a^2b(x-y)^3-30ab^2(y-x)^2
(x^2+y^2)^2-4x^2y^2
x^2-2xy+y^2-9
(a-b)^3-(a-b)
=(a-b)[(a-b)^2-1]
=(a-b)(a-b+1)(a-b-1)
5a^2b(x-y)^3-30ab^2(y-x)^2
=5ab(x-y)^2[a(x-y)-6b]
=5ab(x-y)^2(ax-ay-6b)
(x^2+y^2)^2-4x^2y^2
=(x^2+y^2+2xy)(x^2+y^2-2xy)
=(x+y)^2(x-y)^2
x^2-2xy+y^2-9
=(x-y)^2-3^2
=(x-y+3)(x-y-3)
再问： 請問、4x^3y+4x^2y^2+xy^3 怎麼分解啊...
再答： 4x^3y+4x^2y^2+xy^3 =xy(4x^2+4xy+y^2) =xy(2x+y)^2
=(a-b)[(a-b)^2-1]
=(a-b)(a-b+1)(a-b-1)
5a^2b(x-y)^3-30ab^2(y-x)^2
=5ab(x-y)^2[a(x-y)-6b]
=5ab(x-y)^2(ax-ay-6b)
(x^2+y^2)^2-4x^2y^2
=(x^2+y^2+2xy)(x^2+y^2-2xy)
=(x+y)^2(x-y)^2
x^2-2xy+y^2-9
=(x-y)^2-3^2
=(x-y+3)(x-y-3)
再问： 請問、4x^3y+4x^2y^2+xy^3 怎麼分解啊...
再答： 4x^3y+4x^2y^2+xy^3 =xy(4x^2+4xy+y^2) =xy(2x+y)^2