Question:
Factorize the following:
72x6y7 − 96x7y6
Solution:
The greatest common factor of the terms $72 x^{6} y^{7}$ and $-96 x^{7} y^{6}$ of the expression $72 x^{6} y^{7}-96 x^{7} y^{64}$ is $24 x^{6} y^{6}$.
Now,
$72 x^{6} y^{7}=24 x^{6} y^{6} \times 3 y$
and
$-96 x^{7} y^{6}=24 x^{6} y^{6} \times-4 x$
Hence, the expression 72x6y7 - 96x7y6 can be factorised as 24x6y6(3y - 4x).