Question

Find the quotients. Simplify completely. Any exponents entered should be a positive exponents

Answer 1

The given expression is:

$\frac{110r^5-40r^4}{10r^4}$

Start by factorizing the numerator:

$\frac{10r^4(11r-4)}{10r^4}$

Now, we can simplify equal terms on numerator and denominator:

$\begin{gathered} \frac{10r^4(11r-4)}{10r^4}=\frac{10r^4}{10r^4}(11r-4)=1\cdot(11r-4) \\ \text{Thus the quotient is:} \\ \frac{110r^5-40r^4}{10r^4}=11r-4 \end{gathered}$