Question

Carry out the multiplication of the expressions for the following pairs $\mathrm{ab},\mathrm{a}-\mathrm{b}$.

Answer 1

Compute the required value:

The given expression is $\mathrm{ab}$ and $\mathrm{a}-\mathrm{b}$

Using distributive property,

$\mathrm{A}(\mathrm{B}-\mathrm{C})=\mathrm{AB}-\mathrm{AC}$

$\begin{array}{rcl}\mathrm{ab}(\mathrm{a}-\mathrm{b})& =& \mathrm{aba}-\mathrm{abb}\\ & =& {\mathrm{a}}^2\mathrm{b}-{\mathrm{ab}}^2\end{array}$

Hence, the multiplication of the expressions for the following pairs $\mathrm{ab},\mathrm{a}-\mathrm{b}$ is $\begin{array}{rcl}& & {\mathrm{a}}^2\mathrm{b}-{\mathrm{ab}}^2\end{array}$.