Find the value of (36(\frac{a}{2}+\frac{b}{6}+\frac{c}{3})^2... | Quantitative Aptitude | SolveeIt | Solveeit

Today, August 19

Question

Find the value of $36(\frac{a}{2}+\frac{b}{6}+\frac{c}{3})^2$

A

4a2 + 36b2 + 9c2 + 12ab + 18bc + 6ac

B

36a2 + 9b2 + 4c2 + 18ab + 6bc + 12ac

C

a2 + 4b2 + 9c2 + 4ab + 12bc + 6ac

D

9a2 + b2 + 4c2 + 6ab + 4bc + 12ac

Answer

9a2 + b2 + 4c2 + 6ab + 4bc + 12ac

Explanation

Solution

The correct option is (D): 9a2 + b2 + 4c2 + 6ab + 4bc + 12ac