Factor out the greatest common factor. Simplify the factors, if possible.
$96 x^{8} y^{9} - 60 x^{3} y^{7} + 84 x^{6} y^{4}$

x^{3} y^{4} (96 x^{5} y^{5} - 60 y^{3} + 84 x^{3})

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12 x^{3} y^{4} (8 x^{5} y^{5} - 5 y^{3} + 7 x^{3})

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12 (8 x^{8} y^{9} - 5 x^{3} y^{7} + 7 x^{6} y^{4})

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12 x^{3} (8 x^{5} y^{9} - 5 y^{7} + 7 x^{3} y^{4})

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Solution

The correct option is B $12 x^{3} y^{4} (8 x^{5} y^{5} - 5 y^{3} + 7 x^{3})$
Given, $96 x^{8} y^{9} - 60 x^{3} y^{7} + 84 x^{6} y^{4}$
$= 12 \times 8 x^{8} y^{9} - 12 \times 5 x^{3} y^{7} + 12 \times 7 x^{6} y^{4}$
$= 12 x^{3} y^{4} (8 x^{5} y^{5} - 5 y^{3} + 7 x^{3})$
Option B is correct.

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