Question

因式分解 x的三次方-25x (x-y)的平方+4xy 4x的四次方-4x的三次方+x的平方

Answer 1

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

x^4-2x^2y^2-4xy^3+4x^3+y^2（4x^2+3/4y^2)

=1/4[(4x^4+4y^4+24x^2y^2-16x^3y-16y^3x)-16x^2y^2+16x^3y+16x^3-y^4]

=1/4[4(x-y)^4-16x^2y^2+16x^3y+16x^3-y^4]

=(x-y)^4-4x^2y^2+4x^3y+4x^3-1/4y^4

真难输入啊!后面的自己看了~