Question

Add the following like terms:

$\frac{-2}{3}{x}^{3}and\frac{-5}{6}{x}^3$

Answer 1

Finding addition

$$\begin{gathered} \frac{-2}{3}{x}^3+\frac{-5}{6}{x}^3=\left(\frac{-2}{3}+\frac{-5}{6}\right)x^3 \\ =\left(\frac{-2\times 2+(-5)\times 1}{6}\right)x^3 \\ =\left(\frac{-4+(-5)}{6}\right)x^3 \\ =\frac{-9}{6}{x}^3 \\ =\frac{-3}{2}{x}^3 \\ So,\frac{-2}{3}{x}^3+\frac{-5}{6}{x}^3=\frac{-3}{2}{x}^3 \end{gathered}$$