Exercise
$\frac{2m}{\:13}\left(\frac{13m}{5}+\frac{5n}{11}\right)-\frac{11n}{2}\left(2+\frac{2m}{13}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Expand the expression (2m)/13((13m)/5+(5n)/11)+(-11n)/2(2+(2m)/13). Solve the product \frac{2m}{13}\left(\frac{13m}{5}+\frac{5n}{11}\right). Multiplying fractions \frac{2m}{13} \times \frac{13m}{5}. Multiplying fractions \frac{2m}{13} \times \frac{5n}{11}. When multiplying two powers that have the same base (m), you can add the exponents.
Expand the expression (2m)/13((13m)/5+(5n)/11)+(-11n)/2(2+(2m)/13)
Final answer to the exercise
$\frac{2}{5}m^2+\frac{10mn}{143}-11n-\frac{11}{13}nm$