Algebra Examples

$(2 x^{2} + 9 - 5 x^{2}) - (- 6 x^{2} + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 x^{2} + 9 - 5 x^{2} - (- 6 x^{2}) - 1 \cdot 5$

Step 1.2

Multiply $- 6$ by $- 1$ .

$2 x^{2} + 9 - 5 x^{2} + 6 x^{2} - 1 \cdot 5$

Step 1.3

Multiply $- 1$ by $5$ .

$2 x^{2} + 9 - 5 x^{2} + 6 x^{2} - 5$

$2 x^{2} + 9 - 5 x^{2} + 6 x^{2} - 5$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 x^{2}$ from $2 x^{2}$ .

$- 3 x^{2} + 9 + 6 x^{2} - 5$

Step 2.2

Add $- 3 x^{2}$ and $6 x^{2}$ .

$3 x^{2} + 9 - 5$

Step 2.3

Subtract $5$ from $9$ .

$3 x^{2} + 4$

$3 x^{2} + 4$

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