Question

Use the formula to find the factors.

(9) $m^2-\frac{49}{64}$

Answer 1

$$\begin{gathered} m^2-\frac{49}{64} \\ ={\left(m\right)}^2-{\left(\frac{7}{8}\right)}^2 \\ =\left(m+\frac{7}{8}\right)\left(m-\frac{7}{8}\right)\left[a^2-b^2=\left(a+b\right)\left(a-b\right)\right] \\ \therefore m^2-\frac{49}{64}=\left(m+\frac{7}{8}\right)\left(m-\frac{7}{8}\right) \end{gathered}$$