Basic Math Examples

$(3 y^{2} + 13 y^{3} + 5 y) - (7 y + 4 y^{3})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 y^{2} + 13 y^{3} + 5 y - (7 y) - (4 y^{3})$

Step 1.2

Multiply $7$ by $- 1$ .

$3 y^{2} + 13 y^{3} + 5 y - 7 y - (4 y^{3})$

Step 1.3

Multiply $4$ by $- 1$ .

$3 y^{2} + 13 y^{3} + 5 y - 7 y - 4 y^{3}$

$3 y^{2} + 13 y^{3} + 5 y - 7 y - 4 y^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4 y^{3}$ from $13 y^{3}$ .

$3 y^{2} + 9 y^{3} + 5 y - 7 y$

Step 2.2

Subtract $7 y$ from $5 y$ .

$3 y^{2} + 9 y^{3} - 2 y$

Step 2.3

Reorder $3 y^{2}$ and $9 y^{3}$ .

$9 y^{3} + 3 y^{2} - 2 y$

$9 y^{3} + 3 y^{2} - 2 y$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$