Question:
Multiply:
(x6 − y6) by (x2 + y2)
Solution:
To multiply, we will use distributive law as follows:
$\left(x^{6}-y^{6}\right)\left(x^{2}+y^{2}\right)$
$=x^{6}\left(x^{2}+y^{2}\right)-y^{6}\left(x^{2}+y^{2}\right)$
$=\left(x^{8}+x^{6} y^{2}\right)-\left(y^{6} x^{2}+y^{8}\right)$
$=x^{8}+x^{6} y^{2}-y^{6} x^{2}-y^{8}$
Thus, the answer is $x^{8}+x^{6} y^{2}-y^{6} x^{2}-y^{8}$.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.