Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Factorize:
$72 x^6 y^7-96 x^7 y^6$
✓
Answer
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,
$72 x^6 y^7=24 x^6 y^6 .3 y \text { and }-96 x^7 y^6=24 x^6 y^6 .-4 x$
Hence, the expression $72 x^6 y^7-96 x^7 y^6$ can be factorised as $24 x^6 y^6 \cdot(3 y-4 x)$
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