4(2x+y)^2-9(x-2y)^2

来源：学生作业帮助网编辑：六六作业网时间：2024/12/19 15:30:11

4(2x+y)^2-9(x-2y)^24(2x+y)^2-9(x-2y)^24(2x+y)^2-9(x-2y)^24(2x+y)^2-9(x-2y)^2=(4x+2y)^2-(3x-6y)^2=（4x

4(2x+y)^2-9(x-2y)^2
4(2x+y)^2-9(x-2y)^2

4(2x+y)^2-9(x-2y)^2
4(2x+y)^2-9(x-2y)^2
=(4x+2y)^2-(3x-6y)^2
=（4x+2y+3x-6y)(4x+2y-3x+6y)
=（7x-4y)(x+8y)