Algebra Examples

$9 (6 x - 2) - 3 (9 x^{2} - 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$9 (6 x) + 9 \cdot - 2 - 3 (9 x^{2} - 3)$

Step 1.2

Multiply $6$ by $9$ .

$54 x + 9 \cdot - 2 - 3 (9 x^{2} - 3)$

Step 1.3

Multiply $9$ by $- 2$ .

$54 x - 18 - 3 (9 x^{2} - 3)$

Step 1.4

Apply the distributive property.

$54 x - 18 - 3 (9 x^{2}) - 3 \cdot - 3$

Step 1.5

Multiply $9$ by $- 3$ .

$54 x - 18 - 27 x^{2} - 3 \cdot - 3$

Step 1.6

Multiply $- 3$ by $- 3$ .

$54 x - 18 - 27 x^{2} + 9$

$54 x - 18 - 27 x^{2} + 9$

Step 2

Simplify the expression.

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Step 2.1

Add $- 18$ and $9$ .

$54 x - 27 x^{2} - 9$

Step 2.2

Reorder $54 x$ and $- 27 x^{2}$ .

$- 27 x^{2} + 54 x - 9$

$- 27 x^{2} + 54 x - 9$

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