Question

Verify $21\times \left(\right(-4)+(-6\left)\right)=\left(21\times (-4)\right)+\left(21\times (-6)\right)$:

Answer 1

Verifying $21\times \left(\right(-4)+(-6\left)\right)=\left(21\times (-4)\right)+\left(21\times (-6)\right)$:

Taking L.H.S., we get

$\begin{array}{rcl}21\times (-4+(-6\left)\right)& =& 21\times \left(-4-6\right)\\ & =& 21\times \left(-10\right)\\ & =& -210\end{array}$.

Taking R.H.S , we get,

$\begin{array}{rcl}(21\times (-4\left)\right)+(21\times (-6\left)\right)& =& \left(-84\right)+\left(-126\right)\\ & =& -84-126\\ & =& -210\end{array}$.

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

$L.H.S=R.H.S.=-210$

Hence, $21\times \left(\right(-4)+(-6\left)\right)=\left(21\times (-4)\right)+\left(21\times (-6)\right)$ is verified.