Question

5x^2-10x-5y^2+5

Answer 1

\(5x^2-10x-5y^2+5\)

\(=5.\left[x^2-2x-y^2+1\right]\)

\(=5.\left[\left(x^2-2x+1\right)-y^2\right]\)

\(=5.\left[\left(x-1\right)^2-y^2\right]\)

\(=5.\left(x-1-y\right).\left(x-1+y\right)\)

Answer 2

=5(x^2-2x-y^2+1)

=5[(x-1)^2-y^2]

=5(x-1-y)(x-1+y)