Algebra Examples

$(7 h^{3} + 8 h) - (9 h^{3} + h^{2} - 2 h)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 h^{3} + 8 h - (9 h^{3}) - h^{2} - (- 2 h)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $9$ by $- 1$ .

$7 h^{3} + 8 h - 9 h^{3} - h^{2} - (- 2 h)$

Step 1.2.2

Multiply $- 2$ by $- 1$ .

$7 h^{3} + 8 h - 9 h^{3} - h^{2} + 2 h$

$7 h^{3} + 8 h - 9 h^{3} - h^{2} + 2 h$

$7 h^{3} + 8 h - 9 h^{3} - h^{2} + 2 h$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $9 h^{3}$ from $7 h^{3}$ .

$- 2 h^{3} + 8 h - h^{2} + 2 h$

Step 2.2

Add $8 h$ and $2 h$ .

$- 2 h^{3} - h^{2} + 10 h$

$- 2 h^{3} - h^{2} + 10 h$

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