Question

Subtract the like following like terms:

$\frac{-18}{5}a{x}^2\text{from}\frac{-11}{13}{\text{ax}}^2$

Answer 1

Finding the subtraction

$$\begin{gathered} \frac{-11}{13}a{x}^2-\frac{-18}{5}a{x}^2=\left(\frac{-11}{13}-\left(\frac{-18}{5}\right)\right)a{x}^2 \\ =\left(\frac{-11}{13}+\frac{18}{5}\right)a{x}^2 \\ =\left(\frac{-11\times 5+18\times 13}{65}\right)a{x}^2 \\ =\left(\frac{-55+234}{65}\right)a{x}^2 \\ =\frac{179}{65}a{x}^2 \\ So,\frac{-11}{13}a{x}^2-\frac{-18}{5}a{x}^2=\frac{179}{65}a{x}^2 \end{gathered}$$