Find the sum of
$6 x^{2} + 12 x y and 9 x^{3} - 6 y x .$

6 x^{2} - 6 x y - 9 x^{3}

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6 x^{2} + 6 x y + 9 x^{3}

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6 x^{2} - 6 x y + 9 x^{3}

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3 x^{2} + 3 x y + 9 x^{3}

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Solution

The correct option is B $6 x^{2} + 6 x y + 9 x^{3}$
Given: $6 x^{2} + 12 x y a n d 9 x^{3} - 6 y x$
Grouping the like terms we get,
$= 6 x^{2} + (12 x y - 6 x y) + 9 x^{3}$
$= 6 x^{2} + 6 x y + 9 x^{3}$

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