Question

factorise by regrouping:
24(a-b)^3 - 56(a-b)^2

Answer 1

$$\begin{gathered} 24{\left(\mathrm{a}-\mathrm{b}\right)}^3-56{\left(\mathrm{a}-\mathrm{b}\right)}^2 \\ =8{\left(\mathrm{a}-\mathrm{b}\right)}^2\left[3\left(\mathrm{a}-\mathrm{b}\right)-7\right] \\ =8\left(\mathrm{a}-\mathrm{b}\right)\left(\mathrm{a}-\mathrm{b}\right)\left(3\mathrm{a}-3\mathrm{b}-7\right) \end{gathered}$$