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

Subtract $6 x$ from $4 x$ .

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

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $- 16$ and $40$ .

$- 2 x - 6 x^{2} + 24$

Step 2.2.2

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

$- 6 x^{2} - 2 x + 24$

$- 6 x^{2} - 2 x + 24$

$- 6 x^{2} - 2 x + 24$

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