因式分解x^2-xy-1+1/4y^2

问题描述:

因式分解x^2-xy-1+1/4y^2

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

x²-xy+1/4y²-1
=(x-1/2y)²-1
=(x-1/2y+1)(x-1/2y-1)