Basic Math Examples

$(5 a^{3} + a - 4) - (9 - 4 a^{3} - 2 a^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 a^{3} + a - 4 - 1 \cdot 9 - (- 4 a^{3}) - (- 2 a^{2})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $9$ .

$5 a^{3} + a - 4 - 9 - (- 4 a^{3}) - (- 2 a^{2})$

Step 1.2.2

Multiply $- 4$ by $- 1$ .

$5 a^{3} + a - 4 - 9 + 4 a^{3} - (- 2 a^{2})$

Step 1.2.3

Multiply $- 2$ by $- 1$ .

$5 a^{3} + a - 4 - 9 + 4 a^{3} + 2 a^{2}$

$5 a^{3} + a - 4 - 9 + 4 a^{3} + 2 a^{2}$

$5 a^{3} + a - 4 - 9 + 4 a^{3} + 2 a^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $5 a^{3}$ and $4 a^{3}$ .

$9 a^{3} + a - 4 - 9 + 2 a^{2}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $9$ from $- 4$ .

$9 a^{3} + a - 13 + 2 a^{2}$

Step 2.2.2

Move $- 13$ .

$9 a^{3} + a + 2 a^{2} - 13$

Step 2.2.3

Move $a$ .

$9 a^{3} + 2 a^{2} + a - 13$

$9 a^{3} + 2 a^{2} + a - 13$

$9 a^{3} + 2 a^{2} + a - 13$

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