Basic Math Examples

$2 {(2 a)}^{2} + 3 (2 a)$

Step 1

Apply the product rule to $2 a$ .

$2 (2^{2} a^{2}) + 3 (2 a)$

Step 2

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

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Step 2.1

Move $2^{2}$ .

$2^{2} \cdot 2 a^{2} + 3 (2 a)$

Step 2.2

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

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Step 2.2.1

Raise $2$ to the power of $1$ .

$2^{2} \cdot 2^{1} a^{2} + 3 (2 a)$

Step 2.2.2

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

$2^{2 + 1} a^{2} + 3 (2 a)$

Step 2.3

Add $2$ and $1$ .

$2^{3} a^{2} + 3 (2 a)$

Step 3

Raise $2$ to the power of $3$ .

$8 a^{2} + 3 (2 a)$

Step 4

Multiply $2$ by $3$ .

$8 a^{2} + 6 a$