9(x-y)²-12(y²-x²)+4(x+y)²

问题描述:

9(x-y)²-12(y²-x²)+4(x+y)²

9(x-y)²-12(y²-x²)+4(x+y)²
=[3(x-y)]²+2·[3(x-y)]·[2(x+y)]+[2(x+y)]²
=[3(x-y)+2(x+y)]²
=(5x-y)².