Question

very that a × ( b+c) = a×b+a×c for
a= 4/5 b=-2/3 c=-1/2​

Answer 1

Answer:

–14/15

Step-by-step explanation:

a*b+b*c

so 4/5*—2/3+4/5*–1/2

by solving it; –8/15+(–4/10)

–16+(–12)/30

Answer 2

$\huge\mathcal{Given:-}$

$A = {\frac{4}{5}}$

$B = {\frac{-2}{3}}$

$C = {\frac{-1}{2}}$

$\huge\mathcal{To \:Find:-}$

$A \times (B +C) = (A× B)+(A × C)$

$\huge\mathcal\red{Solution:-}$

$\huge\mathcal{LHS}$

$\frac{4}{5} \times({\frac{-2}{3}} -{\frac{-1}{2}})$

$\mathcal\red{Taking \:out \:LCM}$

$\frac{4}{5} \times{\frac{-4-3}{6}}$

$\frac{4}{5} \times{\frac{-7}{6}}$

$\frac{-28}{30}$

Now;

$\huge\mathcal\red{RHS}$

${\frac{4}{5}} \times{\frac{-2}{3}} +{\frac{4}{5}} \times {\frac{-1}{2}}$

$\frac{-8}{15} + {\frac{-4}{10}}$

$\mathcal\red{Taking \:Out \:LCM}$

$\frac{-16-12}{30}$

$\frac{-28}{30}$

$\huge\mathcal{LHS=}\mathcal\red{RHS}$