Question

For the following values of a, b and c, verify that a × ( b + c ) = (a × b ) + ( a × c)

a = −2/3

b = −3/4

c = 1/5

step by step explanation
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Answer 1

$\bf\huge\underline{\underline{ Given :- }}$

• a = $\frac{-2}{3}$

• b = $\frac{-3}{4}$

• c = $\frac{1}{5}$

$\bf\huge\underline{\underline{ To \: Verify:- }}$

• a × ( b + c) = (a × b )+ (a × c)

$\bf\huge\underline{\underline{ Answer :- }}$

LHS ,

• a × ( b + c ) = $\frac{-2}{3} ×( \frac{-3}{4} + \frac{1}{5}$

• $\red{\implies} \frac{-2}{3} × \frac{-11}{20}$

• $\red{\implies} \frac{11}{30}$

RHS ,

• $(a b) + (a c) = ( \frac{ - 2}{3} \times \frac{ - 3}{4} ) + ( \frac{ - 2}{3} \times \frac{1}{5} )$

• $\red{ \implies} \: \frac{1}{2} + \frac{ - 2}{15}$

• $\red{\implies} \: \frac{11}{30}$

$\rule{10cm}{0.05cm}$

LHS = RHS