分解因式(x-2y)²-(x+2y)²+2x²+8y²

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分解因式(x-2y)²-(x+2y)²+2x²+8y²

分解因式(x-2y)²-(x+2y)²+2x²+8y²
分解因式(x-2y)²-(x+2y)²+2x²+8y²

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