Algebra Examples

$\frac{7 - (x^{2} - 3)}{3}$

Step 1

Simplify the numerator.

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Step 1.1

Apply the distributive property.

$\frac{7 - x^{2} - - 3}{3}$

Step 1.2

Multiply $- 1$ by $- 3$ .

$\frac{7 - x^{2} + 3}{3}$

Step 1.3

Add $7$ and $3$ .

$\frac{- x^{2} + 10}{3}$

$\frac{- x^{2} + 10}{3}$

Step 2

Simplify with factoring out.

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Step 2.1

Factor $- 1$ out of $- x^{2}$ .

$\frac{- (x^{2}) + 10}{3}$

Step 2.2

Rewrite $10$ as $- 1 (- 10)$ .

$\frac{- (x^{2}) - 1 (- 10)}{3}$

Step 2.3

Factor $- 1$ out of $- (x^{2}) - 1 (- 10)$ .

$\frac{- (x^{2} - 10)}{3}$

Step 2.4

Simplify the expression.

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Step 2.4.1

Rewrite $- (x^{2} - 10)$ as $- 1 (x^{2} - 10)$ .

$\frac{- 1 (x^{2} - 10)}{3}$

Step 2.4.2

Move the negative in front of the fraction.

$- \frac{x^{2} - 10}{3}$

$- \frac{x^{2} - 10}{3}$

$- \frac{x^{2} - 10}{3}$

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