Simplify (7-(x^2-3))/3

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

Step 1

Simplify the numerator.

Apply the distributive property.

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

Multiply $- 1$ by $- 3$ .

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

Add $7$ and $3$ .

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

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

Step 2

Simplify with factoring out.

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

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

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

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

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

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

Simplify the expression.

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

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

Move the negative in front of the fraction.

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

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

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

Related Questions