Question

4x^2-y^2+4x+1

Answer 1

\(=\left(2x+1\right)^2-y^2=\left(2x+y+1\right)\left(2x-y+1\right)\)

Answer 2

\(4x^2-y^2+4x+1=\left(4x^2+4x+1\right)-y^2\)

\(=\left(2x+1\right)^2-y^2=\left(2x+1-y\right)\left(2x+1+y\right)\)

Answer 3

\(4x^2-y^2+4x+1=\left(4x^2+4x+1\right)-y^2\)

\(=\left(2x+1\right)^2-y^2=\left(2x+1-y\right)\left(2x+1+y\right)\)