Algebra Examples

$4 (x - 4) + 2 (3 x^{2} + 3 x - 20)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 x + 4 \cdot - 4 + 2 (3 x^{2} + 3 x - 20)$

Step 1.2

Multiply $4$ by $- 4$ .

$4 x - 16 + 2 (3 x^{2} + 3 x - 20)$

Step 1.3

Apply the distributive property.

$4 x - 16 + 2 (3 x^{2}) + 2 (3 x) + 2 \cdot - 20$

Step 1.4

Simplify.

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Step 1.4.1

Multiply $3$ by $2$ .

$4 x - 16 + 6 x^{2} + 2 (3 x) + 2 \cdot - 20$

Step 1.4.2

Multiply $3$ by $2$ .

$4 x - 16 + 6 x^{2} + 6 x + 2 \cdot - 20$

Step 1.4.3

Multiply $2$ by $- 20$ .

$4 x - 16 + 6 x^{2} + 6 x - 40$

$4 x - 16 + 6 x^{2} + 6 x - 40$

$4 x - 16 + 6 x^{2} + 6 x - 40$

Step 2

Simplify by adding terms.

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Step 2.1

Add $4 x$ and $6 x$ .

$10 x - 16 + 6 x^{2} - 40$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $40$ from $- 16$ .

$10 x + 6 x^{2} - 56$

Step 2.2.2

Reorder $10 x$ and $6 x^{2}$ .

$6 x^{2} + 10 x - 56$

$6 x^{2} + 10 x - 56$

$6 x^{2} + 10 x - 56$

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