Question

(x四次方-8x2y2+16y四次方）÷（2y+x）2÷（x-2y) 要

Answer 1

(x^4-8x2y2+16y^4）÷（2y+x）2÷（x-2y)

=(x^2-4y^2)^2÷（2y+x）2÷（x-2y)

=[(x-2y)(x+2y)]^2÷（2y+x）2÷（x-2y)

=(x-2y)^2(x+2y)^2÷（2y+x）2÷（x-2y)

=[(x-2y)^2(x+2y)^2÷（2y+x）2]÷（x-2y)

=[(x+2y)(x-2y)^2]/2÷（x-2y)

=[(x-2y)(x+2y)]/2

=(x^2-4y^2)/2

=1/2 x^2-2y^2