因式分解 4(3X+Y)平方-9(X-2Y)平方

问题描述:

因式分解 4(3X+Y)平方-9(X-2Y)平方

4(3x+y)^2-9(x-2y)^2
=[2(3x+y)-3(x-2y)][2(3x+y)+3(x-2y)]
=(6x+2y-3x+6y)(6x+2y+3x-6y)
=(3x+8y)(9x-4y)