Basic Math Examples

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

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$2 \cdot 3 s^{2} s + 2 s^{2} \cdot 2$

Step 1.2.2

Multiply $2$ by $2$ .

$2 \cdot 3 s^{2} s + 4 s^{2}$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $s$ .

$2 \cdot 3 (s \cdot s^{2}) + 4 s^{2}$

Step 2.1.2

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

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Step 2.1.2.1

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

$2 \cdot 3 (s^{1} s^{2}) + 4 s^{2}$

Step 2.1.2.2

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

$2 \cdot 3 s^{1 + 2} + 4 s^{2}$

Step 2.1.3

Add $1$ and $2$ .

$2 \cdot 3 s^{3} + 4 s^{2}$

Step 2.2

Multiply $2$ by $3$ .

$6 s^{3} + 4 s^{2}$