分解因式4(x+y)^2-9(x-2y)^2
问题描述:
分解因式4(x+y)^2-9(x-2y)^2
答
4(x+y)²-9(x-2y)²
=[2(x+y)]²-[3(x-2y)]²
=[2(x+y)+3(x-2y)][2(x+y)-3(x-2y)]
=(5x-4y)(8y-x)