Basic Math Examples

$2 y (5 y^{2} - 3 + 3)$

Step 1

Combine the opposite terms in $5 y^{2} - 3 + 3$ .

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Step 1.1

Add $- 3$ and $3$ .

$2 y (5 y^{2} + 0)$

Step 1.2

Add $5 y^{2}$ and $0$ .

$2 y (5 y^{2})$

Step 2

Rewrite using the commutative property of multiplication.

$2 \cdot 5 y \cdot y^{2}$

Step 3

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

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Step 3.1

Move $y^{2}$ .

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

Step 3.2

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

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Step 3.2.1

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

$2 \cdot 5 (y^{2} y^{1})$

Step 3.2.2

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

$2 \cdot 5 y^{2 + 1}$

Step 3.3

Add $2$ and $1$ .

$2 \cdot 5 y^{3}$

Step 4

Multiply $2$ by $5$ .

$10 y^{3}$