Algebra Examples

$(9 a^{3} + 6 a^{2} - a) - (a^{3} + 6 a - 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$9 a^{3} + 6 a^{2} - a - a^{3} - (6 a) - - 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $6$ by $- 1$ .

$9 a^{3} + 6 a^{2} - a - a^{3} - 6 a - - 3$

Step 1.2.2

Multiply $- 1$ by $- 3$ .

$9 a^{3} + 6 a^{2} - a - a^{3} - 6 a + 3$

$9 a^{3} + 6 a^{2} - a - a^{3} - 6 a + 3$

$9 a^{3} + 6 a^{2} - a - a^{3} - 6 a + 3$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $a^{3}$ from $9 a^{3}$ .

$8 a^{3} + 6 a^{2} - a - 6 a + 3$

Step 2.2

Subtract $6 a$ from $- a$ .

$8 a^{3} + 6 a^{2} - 7 a + 3$

$8 a^{3} + 6 a^{2} - 7 a + 3$

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