Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $2$ by $- 1$ .

$g^{3} - 2 g^{2} + 5 g + 6 - g^{2} - 2 g$

$g^{3} - 2 g^{2} + 5 g + 6 - g^{2} - 2 g$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $g^{2}$ from $- 2 g^{2}$ .

$g^{3} - 3 g^{2} + 5 g + 6 - 2 g$

Step 2.2

Subtract $2 g$ from $5 g$ .

$g^{3} - 3 g^{2} + 3 g + 6$

$g^{3} - 3 g^{2} + 3 g + 6$

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