Algebra Examples

$- w + 6 (5 w^{2} - 2) - 6 w^{3} - 1$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- w + 6 (5 w^{2}) + 6 \cdot - 2 - 6 w^{3} - 1$

Step 1.2

Multiply $5$ by $6$ .

$- w + 30 w^{2} + 6 \cdot - 2 - 6 w^{3} - 1$

Step 1.3

Multiply $6$ by $- 2$ .

$- w + 30 w^{2} - 12 - 6 w^{3} - 1$

$- w + 30 w^{2} - 12 - 6 w^{3} - 1$

Step 2

Simplify the expression.

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Step 2.1

Subtract $1$ from $- 12$ .

$- w + 30 w^{2} - 6 w^{3} - 13$

Step 2.2

Move $- w$ .

$30 w^{2} - 6 w^{3} - w - 13$

Step 2.3

Reorder $30 w^{2}$ and $- 6 w^{3}$ .

$- 6 w^{3} + 30 w^{2} - w - 13$

$- 6 w^{3} + 30 w^{2} - w - 13$

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