Question

初一数学分解因式

分解因式
6ax+3ay-2bx-by
x²y²-x²-y²+1
9-a²+4ab-4b²
x²-2x-4y²-4y

Answer 1

6ax+3ay-2bx-by
=3a(2x+y)-b(2x+y)
=(3a-b)(2x+y)

x^2y^2-x^2-y^2+1
=x^2(y^2-1)-(y^2-1)
=(x^2-1)(y^2-1)
=(x+1)(x-1)(y+1)(y-1)

9-a^2+4ab-4b^2
=9-(a-2b)^2
=(3+a-2b)(3-a+2b)

x^2-2x-4y^2-4y
=x^-2x+1-4y^2-4y-1
=(x-1)^2-(2y+1)^2
=(x-1+2y+1)(x-1-2y-1)
=(x+2y)(x-2y-2)