Factorize the following:
72x⁶y⁷ − 96x⁷y⁶

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Solution

The greatest common factor of the terms 72x⁶y⁷ and -96x⁷y⁶ of the expression 72x⁶y⁷ - 96x⁷y⁶⁴ is 24x⁶y⁶.

Now,
72x⁶y⁷ = 24x⁶y⁶ $\times$ 3y
and
-96x⁷y⁶ = 24x⁶y⁶ $\times$ -4x

Hence, the expression 72x⁶y⁷ - 96x⁷y⁶ can be factorised as 24x⁶y⁶(3y - 4x).

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