Simplified form of $a (2 a + 4 a^{2} - 6 a^{3})$ is $2 a^{2} +$ $-$

4 a^{2}

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4 a^{3}

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6 a^{4}

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6 a^{3}

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Solution

The correct option is C $6 a^{4}$
We know distributive property : $A (B + C) = A B + A C$

$\Rightarrow a (2 a + 4 a^{2} - 6 a^{3}) = a \times 2 a + a \times 4 a^{2} - a \times 6 a^{3}$
$= 2 a^{2} + 4 a^{3} - 6 a^{4}$

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