Question

perform the division.
$\frac{12m^{7}-6m^{3}}{6m^{2}}$
$\frac{12m^{7}-6m^{3}}{6m^{2}}=square$ (simplify your answer.)

Explanation:

Step1: Split the fraction

$\frac{12m^{7}-6m^{3}}{6m^{2}}=\frac{12m^{7}}{6m^{2}}-\frac{6m^{3}}{6m^{2}}$

Step2: Use exponent - division rule

For $\frac{12m^{7}}{6m^{2}}$, divide the coefficients and subtract the exponents. $\frac{12}{6}m^{7 - 2}=2m^{5}$. For $\frac{6m^{3}}{6m^{2}}$, $\frac{6}{6}m^{3 - 2}=m$.

Answer:

$2m^{5}-m$