Question

for a= 2/3, b= -3/4, c=3/4 verify that a*(b+c) = a*b+a*c​

Answer 1

Answer:

a= 2/3, b= -3/4, c=3/4

a*(b+c) = a*b+a*c​

LHS=a*(b+c)

      =$\frac{2}{3}(\frac{-3}{4}+\frac{3}{4})\\\\ \frac{2}{3} * 0\\\\ 0$

RHS= a*b+a*c​

        $\frac{2}{3} * \frac{-3}{4} + \frac{2}{3} * \frac{3}{4} \\\\\frac{-6}{12} + \frac{6}{12}\\\\ 0$

LHS=RHS

HENCE, VERIFIED.