(1)x(x-y)2+x(x+y)(y-x)+2(x-y) (2)2(m2+n2)(m+n)2-(m2-n2)2

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(1)x(x-y)2+x(x+y)(y-x)+2(x-y) (2)2(m2+n2)(m+n)2-(m2-n2)2
(1)x(x-y)2+x(x+y)(y-x)+2(x-y) (2)2(m2+n2)(m+n)2-(m2-n2)2

(1)x(x-y)2+x(x+y)(y-x)+2(x-y) (2)2(m2+n2)(m+n)2-(m2-n2)2
(1)
x(x-y)²+x(x+y)(y-x)+2(x-y)
=(x-y)[x(x-y)+x(x+y)+2]
=(x-y)[x(x-y+x+y)+2]
=(x-y)(2x²+2)
=2(x-y)(x²+1)
(2)
2(m²+n²)(m+n)²-(m²-n²)²
=2(m²+n²)(m+n)²-(m+n)²(m-n)²
=(m+n)²[2m²+2n²-(m-n)²]
=(m+n)²(m²+n²+2mn)
=(m+n)²(m+n)²
=(m+n)^4 .(m+n)^4表示(m+n)的4次方