(x+y²)+9(x-y)²-6(x²-y²)

问题描述:

(x+y²)+9(x-y)²-6(x²-y²)

(x+y)²+9(x-y)²-6(x²-y²)=(x+y)²-2·(x+y)·[3(x-y)]+[3(x-y)]²=[(x+y)-3(x-y)]²=(x+y-3x+3y)²=(-2x+4y)²=4(x-2y)²