Question

Verify the following:
(A) 18 × [7 + (–3)] = [18 × 7] + [18 × (–3)]
(B) (–21) × [(– 4) + (– 6)] =
[(–21) × (– 4)] + [(–21) × (– 6)]​

Answer 1

$\blue{ \Large \underline{ \underline \mathfrak{Solution : }}} \\ \\ \sf (A) \\ \sf L.H.S. = 18 × [7 + ( - 3)] \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf = 18 × [7 - 3] \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf = 18 × 4 \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf = 72 \\ \\ \sf</p><p>R.H.S. = [18 × 7] + [18 × ( - 3)] \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf = 126 - 54 \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf = 72 \\ \\ \sf Hence, \: 18 × [7 + ( - 3)] = [18 × 7] + [18 × ( - 3)] \\ \\ \sf </p><p>(B) \\ \sf L.H.S. = ( - 21) × [( - 4) + ( - 6)] \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf = ( - 21) × ( - 4 - 6) \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf = ( - 21) × ( - 10) \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf = 210 \\ \\ \sf R.H.S. = [( - 21) × ( - 4)] + [( - 21) × ( - 6)] \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \sf= 84 + 126 \\\ \: \: \: \: \: \: \: \: \: \: \: \: \sf = 210 \\ \\ \sf Hence, ( - 21) × [( - 4) + ( - 6)] = [( - 21) × ( - 4)] + [( - 21) × ( - 6)]$

Answer 2

Answer:

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