Precalculus Examples

$- \frac{7}{p} + 2 p$

Step 1

To write $2 p$ as a fraction with a common denominator, multiply by $\frac{p}{p}$ .

$- \frac{7}{p} + \frac{2 p \cdot p}{p}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 7 + 2 p \cdot p}{p}$

Step 3

Multiply $p$ by $p$ by adding the exponents.

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Step 3.1

Move $p$ .

$\frac{- 7 + 2 (p \cdot p)}{p}$

Step 3.2

Multiply $p$ by $p$ .

$\frac{- 7 + 2 p^{2}}{p}$

Step 4

Rewrite $- 7$ as $- 1 (7)$ .

$\frac{- 1 (7) + 2 p^{2}}{p}$

Step 5

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

$\frac{- 1 (7) - (- 2 p^{2})}{p}$

Step 6

Factor $- 1$ out of $- 1 (7) - (- 2 p^{2})$ .

$\frac{- 1 (7 - 2 p^{2})}{p}$

Step 7

Move the negative in front of the fraction.

$- \frac{7 - 2 p^{2}}{p}$