Algebra Examples

$3 ((x^{3} - 7 x + 1) - (x + 4))$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 (x^{3} - 7 x + 1 - x - 1 \cdot 4)$

Step 1.2

Multiply $- 1$ by $4$ .

$3 (x^{3} - 7 x + 1 - x - 4)$

$3 (x^{3} - 7 x + 1 - x - 4)$

Step 2

Simplify terms.

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Step 2.1

Subtract $x$ from $- 7 x$ .

$3 (x^{3} - 8 x + 1 - 4)$

Step 2.2

Subtract $4$ from $1$ .

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

Step 2.3

Apply the distributive property.

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

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

Step 3

Simplify.

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Step 3.1

Multiply $- 8$ by $3$ .

$3 x^{3} - 24 x + 3 \cdot - 3$

Step 3.2

Multiply $3$ by $- 3$ .

$3 x^{3} - 24 x - 9$

$3 x^{3} - 24 x - 9$

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