Final Answer:
1) $ a + 4 $
2) $ \dfrac{12}{4a^2} $ or $ \dfrac{3}{a^2} $
3) $ \dfrac{6s + 18}{s^2 - 9} = \dfrac{6(s + 3)}{(s - 3)(s + 3)} = \dfrac{6}{s - 3} $
4) $ \dfrac{3p + 12 + 4 + p}{p + 4} = \dfrac{4p + 16}{p + 4} = \dfrac{4(p + 4)}{p + 4} = 4 $
5) $ \dfrac{4(b+2) - (b+2)}{b+5} = \dfrac{3(b+2)}{b+5} $
6) $ \dfrac{17 - 2}{5q^3} = \dfrac{15}{5q^3} = \dfrac{3}{q^3} $
7) $ \dfrac{15 + 5(m - 2)}{m - 6} = \dfrac{15 + 5m - 10}{m - 6} = \dfrac{5m + 5}{m - 6} = \dfrac{5(m + 1)}{m - 6} $
8) $ \dfrac{3n + 4n}{n^2} = \dfrac{7n}{n^2} = \dfrac{7}{n} $
Parent Tip: Review the logic above to help your child master the concept of simplifying expressions with rational exponents worksheet.
