Question

Answer 1

2).

= \(x^{2n}-\left(xy\right)^{2m}\)

= \(\left(x^n\right)^2-\left(\left(xy\right)^m\right)^2\)

= \(\left(x^n-\left(xy\right)^m\right)\left(x^n+\left(xy\right)^m\right)\)

Answer 2

1) \(x^6-x^8y^8=x^6\left(1-x^2y^8\right)=x^6\left(1-xy^4\right)\left(1+xy^4\right)\)

2) \(x^{2n}-x^{2m}y^{2m}=\left(x^n\right)^2-\left(x^my^m\right)^2=\left(x^n-x^my^m\right)\left(x^n+x^my^m\right)\)