Algebra Examples

$(4 w^{2} - 4 w - 8) - (2 w^{2} + 3 w - 6)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 w^{2} - 4 w - 8 - (2 w^{2}) - (3 w) - - 6$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$4 w^{2} - 4 w - 8 - 2 w^{2} - (3 w) - - 6$

Step 1.2.2

Multiply $3$ by $- 1$ .

$4 w^{2} - 4 w - 8 - 2 w^{2} - 3 w - - 6$

Step 1.2.3

Multiply $- 1$ by $- 6$ .

$4 w^{2} - 4 w - 8 - 2 w^{2} - 3 w + 6$

$4 w^{2} - 4 w - 8 - 2 w^{2} - 3 w + 6$

$4 w^{2} - 4 w - 8 - 2 w^{2} - 3 w + 6$

Step 2

Simplify by adding terms.

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Step 2.1

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

$2 w^{2} - 4 w - 8 - 3 w + 6$

Step 2.2

Subtract $3 w$ from $- 4 w$ .

$2 w^{2} - 7 w - 8 + 6$

Step 2.3

Add $- 8$ and $6$ .

$2 w^{2} - 7 w - 2$

$2 w^{2} - 7 w - 2$

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