Algebra Examples

$(- 6 w^{4} + w^{2}) - (- 2 w^{3} + 4 w^{2} - w)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 6 w^{4} + w^{2} - (- 2 w^{3}) - (4 w^{2}) - - w$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 2$ by $- 1$ .

$- 6 w^{4} + w^{2} + 2 w^{3} - (4 w^{2}) - - w$

Step 1.2.2

Multiply $4$ by $- 1$ .

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} - - w$

Step 1.2.3

Multiply $- - w$ .

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Step 1.2.3.1

Multiply $- 1$ by $- 1$ .

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} + 1 w$

Step 1.2.3.2

Multiply $w$ by $1$ .

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} + w$

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} + w$

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} + w$

$- 6 w^{4} + w^{2} + 2 w^{3} - 4 w^{2} + w$

Step 2

Subtract $4 w^{2}$ from $w^{2}$ .

$- 6 w^{4} + 2 w^{3} - 3 w^{2} + w$

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