因式分解:(x+y﹚的四次方+﹙x²-y²﹚²+﹙x-y﹚的四次方

问题描述:

因式分解:(x+y﹚的四次方+﹙x²-y²﹚²+﹙x-y﹚的四次方

(x+y﹚的四次方+2﹙x²-y²﹚²+﹙x-y﹚的四次方
=(x+y﹚的四次方+2﹙x+y)²(x-y﹚²+﹙x-y﹚的四次方
=[(x+y)²+(x-y)²]²
=(x²+2xy+y²+x²-2xy+y²)²
=(2x²+2y²)²
-=4(x²+y²)²