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Formula use:
a^3-b^3=\left(a-b\right)\left(a^2+ab+b^2\right)
a^2-b^2=\left(a+b\right)\left(a-b\right)
Given expression is: x^6-y^6
Factorize
x^6-y^6
\rightarrow\left(x^2\right)^3-\left(y^2\right)^3
\rightarrow\left(x^2-y^2\right)\{\left(x^2\right)^2+x^2.y^2+\left(y^2\right)^2\}
\therefore\left(x+y\right)\left(x-y\right)\left(x^4+x^2y^2+y^4\right)
Ans: \left(x+y\right)\left(x-y\right)\left(x^4+x^2y^2+y^4\right)
