Question 24: Factorize the polynomial \(\begin{aligned} & 4 x^{8}-4 x^{2} y^{6} \end{aligned}\)

\(\begin{aligned} & 4 x^{8}-4 x^{2} y^{6} \\ &=4 x^{2}\left(x^{6}-y^{6} \right) \\ &=4 x^{2}\left(x^{2}-y^{2}\right)\left(x^{4}+x^{2} y^{2}+ y^{4}\right) \\ &=4 x^{2}(xy)(x+y)\left(x^{4}+x^{2} y^{2}+y^{4 }\right) \end{aligned}\)