因式分解计算(4(x+2y)^2-25(x-2y)^2

问题描述:

因式分解计算(4(x+2y)^2-25(x-2y)^2

原式=[2(x+2y)]²-[5(x-2y)]²
=(2x+4y)²-(5x-10y)²
=[(2x+4y)+(5x-10y)][(2x+4y)-(5x-10y)]
=(7x-6y)(14y-3x)