Subtract as indicated. Express your answer in lowest terms.StartFraction 2 Over 7 p squared EndFraction

Question

minusStartFraction 3 Over p EndFraction
equals
  
enter your response here
​(Simplify your​ answer.)

Answer 1

To subtract the fractions \( \frac{2}{7p^2} - \frac{3}{p} \), we need a common denominator. The least common denominator (LCD) for \( 7p^2 \) and \( p \) is \( 7p^2 \).

Now we can rewrite the second fraction with the common denominator:

\[ \frac{3}{p} = \frac{3 \cdot 7p}{p \cdot 7} = \frac{21p}{7p^2} \]

Now, we can perform the subtraction:

\[ \frac{2}{7p^2} - \frac{21p}{7p^2} = \frac{2 - 21p}{7p^2} \]

Thus, the expression simplifies to:

\[ \frac{2 - 21p}{7p^2} \]

This is the answer in its lowest terms.