Question

x² - y² - x + y

Answer 1

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

Answer 2

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

Answer 3

= ( x + y ) ( x - y ) - ( x - y )

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

Answer 4

(x-y)(x+y-1)

Answer 5

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