Question

Verify the following: $(-21)\times \left[\right(-4)+(-6\left)\right]=\left[\right(-21)\times (-4\left)\right]+\left[\right(-21)\times (-6\left)\right]$

Answer 1

Verify the given equation:

Given: $(-21)\times \left[(-4)+(-6)\right]=\left[(-21)\times (-4)\right]+\left[(-21)\times (-6)\right]$

Consider the LHS, $(-21)\times \left[\right(-4)+(-6\left)\right]$

$=(-21)\times [-4-6]$ ;[Simplifying the square bracket first]

$=(-21)\times [-10]$

$=210$ ; $\left[\left(-\right)\times \left(-\right)=+\right]$

Now considering RHS, $\left[(-21)\times (-4)\right]+\left[(-21)\times (-6)\right]$

$=\left[84\right]+\left[126\right]$ ; $\left[\left(-\right)\times \left(-\right)=+\right]$

$=210$

Thus, LHS $=$RHS

Hence proved.