Question

Simplify: \(\frac{n^2+6n-72}{n-6}\)
1. n - 12
2. n + 12
3. n + 9
4. n -8

Answer 1

Correct Answer - Option 2 : n + 12

Given:

\(\frac{n^2+6n-72}{n-6}\)

Concept used:

Simplification

Calculation:

⇒ \(\frac{{{n^2} + 12n - 6n - 72}}{{n - 6}}\)

⇒ \(\frac{{n\left( {n + 12} \right) - 6\left( {n + 12} \right)}}{{n - 6}}\)

⇒ \(\frac{{\left( {n + 12} \right)\left( {n - 6} \right)}}{{n - 6}}\)

∴ n + 12