因式分解:8x²(2x²-y²)+y四次方 (x²+x)²-(x+1)²

问题描述:

因式分解:8x²(2x²-y²)+y四次方 (x²+x)²-(x+1)²

8x²(2x²-y²)+y四次方=16x的4次方-8x²y²+y的4次方=(4x²-y²)²=(2x+y)²(2x-y)²(x²+x)²-(x+1)²=(x²+x+x+1)(x²+x-x-1)=(x+1)²...