Algebra Examples

$\frac{(a^{2} + 3) \frac{1}{3}}{(a^{2} - 3) \frac{- 1}{3}}$

Step 1

Reduce the expression $\frac{(a^{2} + 3) \frac{1}{3}}{(a^{2} - 3) \frac{- 1}{3}}$ by cancelling the common factors.

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Step 1.1

Factor $- 1$ out of $\frac{1}{3}$ .

$\frac{(a^{2} + 3) (- \frac{- 1}{3})}{(a^{2} - 3) \frac{- 1}{3}}$

Step 1.2

Rewrite $- \frac{- 1}{3}$ as $- 1 (\frac{- 1}{3})$ .

$\frac{(a^{2} + 3) (- 1 (\frac{- 1}{3}))}{(a^{2} - 3) \frac{- 1}{3}}$

Step 1.3

Cancel the common factor.

$\frac{(a^{2} + 3) (- 1 (\frac{- 1}{3}))}{(a^{2} - 3) \frac{- 1}{3}}$

Step 1.4

Rewrite the expression.

$\frac{(a^{2} + 3) \cdot (- 1)}{a^{2} - 3}$

Step 2

Multiply $a^{2} + 3$ by $- 1$ .

$\frac{(a^{2} + 3) \cdot - 1}{a^{2} - 3}$