Question

(x^2-x)y^2+y-(x^2+x) factories​

Answer 1

Answer:

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

Step-by-step explanation:

(x^2-x)y^2+y-(x^2+x)

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

=x(x-1)y^2+{x^2–(x^2–1)}y-x(x+1)

=x(x-1)y^2+(x^2)y–(x^2–1)y-x(x+1)

=xy{(x-1)y+x}-(x+1){(x-1)y+x}

={(x-1)y+x}{xy-(x+1)}

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