Simplify a^2(21a-16a)

$a^{2} (21 a - 16 a)$

Subtract $16 a$ from $21 a$ .

$a^{2} (5 a)$

Rewrite using the commutative property of multiplication.

$5 a^{2} a$

Multiply $a^{2}$ by $a$ by adding the exponents.

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Move $a$ .

$5 (a \cdot a^{2})$

Multiply $a$ by $a^{2}$ .

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Raise $a$ to the power of $1$ .

$5 (a^{1} a^{2})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5 a^{1 + 2}$

Add $1$ and $2$ .

$5 a^{3}$

Simplify a^2(21a-16a)

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