Question

Solve for the following indicated variable and show all work.

V= 2(ab + bc + ca) Solve for a​

Answer 1

$\bf V=2(ab+bc+ca)\implies V=\stackrel{\textit{distributing}}{2ab+2bc+2ca}\implies V-2bc=2ab+2ca \\\\\\ \stackrel{~\hfill \textit{common factor}}{V-2bc=a(2b+2c)}\implies \cfrac{V-2bc}{2b+2c}=a$