因式分解9(x-y)²+12(x²-y²)+4(x+y)²

问题描述:

因式分解9(x-y)²+12(x²-y²)+4(x+y)²

原式=[3(x-y)]²+12(x+y)(x-y)+[2(x+y)]²
=[3(x-y)+2(x+y)]²
=(5x-y)²