Question

x² - 4x²y² + y² + 2xy

Answer 1

\(x^2-4x^2y^2+y^2+2xy\)

\(=\left(x^2+2xy+y^2\right)-4x^2y^2\)

\(=\left(x+y\right)^2-\left(2xy\right)^2\)

\(=\left(x+y-2xy\right)\left(x+y+2xy\right)\)

Answer 2

     x^2-4x^2y^2+y^2+2xy

<=>(x^2+2xy+y^2)-(2xy)^2

<=>(x+y)^2-(2xy)^2

<=>(x+y-2xy).(x+y+2xy)