求一道数学题答案5x^2-10xy+5y^2-2x+2y

问题描述:

求一道数学题答案5x^2-10xy+5y^2-2x+2y

5x^2-10xy+5y^2-2x+2y
=(5x^2-10xy+5y^2)-(2x-2y)
=5(x²-2xy+y²)-2(x-y)
=5(x-y)²-2(x-y)
=(x-y)[5(x-y)-2]
=(x-y)(5x-5y-2)