Verify the following:
(a) $18\times[7 + (-3)]=[18\times7] + [18\times(-3)]$
(b) $(-21)\times[(- 4) + (- 6)]=[(-21)\times(- 4)] + [(-21)\times(- 6)]$

To do:

We have to verify the given equations.

Solution:

(a) L.H.S.$=18\times[7 + (-3)]$

$=18\times[7-3]$

$=18\times[4]$

$=72$

R.H.S.$=[18\times7] +[18\times(-3)]$

$=[126]+[-54]$

$=126-54$
$=72$

Here, L.H.S.$=$R.H.S.

Therefore, $18\times[7 + (-3)]=[18\times7] + [18\times(-3)]$

Hence verified.

(b) L.H.S.$=(-21)\times[(- 4) + (- 6)]$

$=(-21)\times[-4-6]$

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

$=210$

R.H.S.$=[(-21)\times(- 4)] + [(-21)\times(- 6)]$

$=[84]+[126]$

$=210$

Here, L.H.S.$=$R.H.S.

Therefore, $(-21)\times[(- 4) + (- 6)]=[(-21)\times(- 4)] + [(-21)\times(- 6)]$

Hence verified.

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Updated on: 10-Oct-2022

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