Question

Verify $18\times (7+(-3\left)\right)=\left(18\times 7\right)+\left(18\times (-3)\right)$:

Answer 1

Verifying $18\times (7+(-3\left)\right)=\left(18\times 7\right)+\left(18\times (-3)\right)$:

Taking L.H.S., we get

$\begin{array}{rcl}18\times (7+(-3\left)\right)& =& 18\times \left(7-3\right)\\ & =& 18\times 4\\ & =& 72\end{array}$.

Taking R.H.S , we get,

$\begin{array}{rcl}(18\times 7)+(18\times (-3\left)\right)& =& \left(126\right)+\left(-54\right)\\ & =& 126-54\\ & =& 72\end{array}$.

On comparing both L.HS. and R.H.S., we get,

$L.H.S=R.H.S.=72$

Hence, $18\times (7+(-3\left)\right)=\left(18\times 7\right)+\left(18\times (-3)\right)$ is verified.