4x平方+y平方+6x-3y-10-4xy 因式分解

问题描述:

4x平方+y平方+6x-3y-10-4xy 因式分解

4x^2+y^2+6x-3y-10-4xy
=(2x-y)^2+6x-3y-10
=(2x-y+5)(2x-y-2)

4x²-4xy+y²+6x-3y-10
=(2x-y)²+3(2x-y)-10
=(2x-y+5)(2x-y-2)

原式=4x²-4xy+y²+6x-3y-10
=(2x-y)²+3(2x-y)-10
设2x-y=a
则原式=a²+3a-10
=(a+5)(a-2)
=(2x-y+5)(2x-y-2)

=(2x-y-2)(2x-y+5)