Question

verify distributive property a(b+c) = (a x b) +( a x c) for the given values a=2, b=3/5 and c=1/2 answer fastly

Answer 1

Answer:

1.7 = 3.6 is the answer for your question.

Answer 2

Given:

$a = 2$

$b = \frac{3}{5}$

$c = \frac{1}{2}$

To verify:

$a(b + c) = (a \times b) + (a \times c)$

Solution:

Let us first solve for L. H. S.

$\longrightarrow{\blue{}}$ $a(b + c)$

$\longrightarrow{\blue{}}$ $2( \frac{3}{5} + \frac{1}{2} )$

$\longrightarrow{\blue{}}$ $2 (\frac{3 \times 2}{5 \times 2} + \frac{1 \times 5}{2 \times 5} )$

$\longrightarrow{\blue{}}$ $2( \frac{6}{10} + \frac{5}{10} )$

$\longrightarrow{\blue{}}$ $2( \frac{6 + 5}{10} )$

$\longrightarrow{\blue{}}$ $2 \times \frac{11}{10}$

$\longrightarrow{\blue{}}$ $\frac{11}{5}$

Next, let us solve for R. H. S.

$\longrightarrow{\blue{}}$ $(a \times b) + (a \times c)$

$\longrightarrow{\blue{}}$ $(2 \times \frac{3}{5} ) + (2 \times \frac{1}{2} )$

$\longrightarrow{\blue{}}$ $( \frac{6}{5} ) + ( \frac{2}{2} )$

$\longrightarrow{\blue{}}$ $\frac{6}{5} + \frac{1 \times 5}{1 \times 5}$

$\longrightarrow{\blue{}}$ $\frac{6 + 5}{5}$

$\longrightarrow{\blue{}}$ $\frac{11}{5}$

$\longrightarrow{\blue{}}$ L. H. S.

Since L. H. S. = R. H. S.

$\boxed{ Hence\:verified. }$