Algebra Examples

$8 (x^{2} - 1) + 3 x (x + 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 x^{2} + 8 \cdot - 1 + 3 x (x + 2)$

Step 1.2

Multiply $8$ by $- 1$ .

$8 x^{2} - 8 + 3 x (x + 2)$

Step 1.3

Apply the distributive property.

$8 x^{2} - 8 + 3 x \cdot x + 3 x \cdot 2$

Step 1.4

Multiply $x$ by $x$ by adding the exponents.

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Step 1.4.1

Move $x$ .

$8 x^{2} - 8 + 3 (x \cdot x) + 3 x \cdot 2$

Step 1.4.2

Multiply $x$ by $x$ .

$8 x^{2} - 8 + 3 x^{2} + 3 x \cdot 2$

$8 x^{2} - 8 + 3 x^{2} + 3 x \cdot 2$

Step 1.5

Multiply $2$ by $3$ .

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Add $8 x^{2}$ and $3 x^{2}$ .

$11 x^{2} - 8 + 6 x$

Step 2.2

Move $- 8$ .

$11 x^{2} + 6 x - 8$

$11 x^{2} + 6 x - 8$

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