分解因式(x-2y)²-(x+2y)²+2x²+8y²

问题描述:

分解因式(x-2y)²-(x+2y)²+2x²+8y²

(x-2y)²-(x+2y)²+2x²+8y²=[(x-2y)-(x+2y)]*[(x-2y)+(x+2y)]+2x²+8y²=[-4y]*[2x]+2x²+8y²= -8xy+2x²+8y²=2(-4xy+x²+4y²)=2(x-2y)²...