Question

verify that a/(b+c)#(a/b)+(a/c) for each of the following .
a=-20,b=-5,c=4​

Answer 1

$\huge\sf\pink{ Given }$

$• \: a = - 20$

$• \: b = - 5$

$• \: c = - 4$

$\huge\sf\pink{ To \: Prove }$

$• \: \frac{a}{b + c} \: ≠ \: \frac{a}{b} + \frac{a}{c}$

$\huge\sf\pink{ Proof }$

LHS

$• \: \frac{ - 20}{ - 5 - 4} = \frac{ - 20}{ - 9}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{20}{9}$

$\rule{10cm}{0.02cm}$

RHS

$• \: \frac{a}{b} + \frac{a}{c}$

$= \frac{ - 20}{ - 5} + \frac{ - 20}{ - 4}$

$= \frac{ 80 + 100 }{20}$

$= \frac{180}{20}$

$= 9$

$\rule{10cm}{0.02cm}$

$\large\sf\pink{Hence}$

$LHS ≠ RHS \:$