Algebra Examples

$5 x^{2} - (3 x - 6 x^{2}) + 6 + (7 x - 2)$

Step 1

Remove parentheses.

$5 x^{2} - (3 x - 6 x^{2}) + 6 + 7 x - 2$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$5 x^{2} - (3 x) - (- 6 x^{2}) + 6 + 7 x - 2$

Step 2.2

Multiply $3$ by $- 1$ .

$5 x^{2} - 3 x - (- 6 x^{2}) + 6 + 7 x - 2$

Step 2.3

Multiply $- 6$ by $- 1$ .

$5 x^{2} - 3 x + 6 x^{2} + 6 + 7 x - 2$

$5 x^{2} - 3 x + 6 x^{2} + 6 + 7 x - 2$

Step 3

Simplify by adding terms.

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Step 3.1

Add $5 x^{2}$ and $6 x^{2}$ .

$11 x^{2} - 3 x + 6 + 7 x - 2$

Step 3.2

Add $- 3 x$ and $7 x$ .

$11 x^{2} + 4 x + 6 - 2$

Step 3.3

Subtract $2$ from $6$ .

$11 x^{2} + 4 x + 4$

$11 x^{2} + 4 x + 4$

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