Question

Разложите на множители:

2х+у+у во второй степени-4х во второй степени

1-х во второй степени+2ху-у во второй степени

Answer 1

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

1-х^2+2ху-у^2=1-(x-y)^2=(1+x-y)(1-x+y)

Answer 2

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

1-х^2+2ху-у^2=1-(x-y)^2=(1+x-y)(1-x+y)

 $2x+y+y^{2}-4x^{2}=2x+y+(y-2x)(y+2x)=\(y+2x)(1+y-2x)\\ 1-x^2+2xy-y^2=1-(x-y)^2=(1+x-y)(1-x+y)$