Precalculus Examples

$8 (2 x + 5) - 2 (4 x + 8)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 (2 x) + 8 \cdot 5 - 2 (4 x + 8)$

Step 1.2

Multiply $2$ by $8$ .

$16 x + 8 \cdot 5 - 2 (4 x + 8)$

Step 1.3

Multiply $8$ by $5$ .

$16 x + 40 - 2 (4 x + 8)$

Step 1.4

Apply the distributive property.

$16 x + 40 - 2 (4 x) - 2 \cdot 8$

Step 1.5

Multiply $4$ by $- 2$ .

$16 x + 40 - 8 x - 2 \cdot 8$

Step 1.6

Multiply $- 2$ by $8$ .

$16 x + 40 - 8 x - 16$

$16 x + 40 - 8 x - 16$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 x$ from $16 x$ .

$8 x + 40 - 16$

Step 2.2

Subtract $16$ from $40$ .

$8 x + 24$

$8 x + 24$

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