Question

Use the formula to multiply:

(10) $\left(m+\frac{2}{3}\right)\left(m-\frac{7}{3}\right)$

Answer 1

As (x + a) (x + b) = x² + (a + b)x + ab
So,
$$\begin{gathered} \left(m+\frac{2}{3}\right)\left(m-\frac{7}{3}\right)=m^2+\left(\frac{2}{3}-\frac{7}{3}\right)m-\frac{14}{9} \\ =m^2-\frac{5}{3}m-\frac{14}{9} \\ \therefore \left(m+\frac{2}{3}\right)\left(m-\frac{7}{3}\right)=m^2-\frac{5}{3}m-\frac{14}{9} \end{gathered}$$