Question

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

Answer 1

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

Answer 2

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

Answer 3

\(x^2-4y^2-2x+1\)

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

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

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

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