question_answer

The   value   of \[\frac{{{(1.5)}^{3}}+{{(4.7)}^{3}}+{{(3.8)}^{3}}-3\times 15\times \,4.7\times 3.8}{{{(1.5)}^{2}}+{{(4.7)}^{2}}+{{(3.8)}^{2}}-1.5\times 4.7-4.7\times 3.8-3.8\times 1.5}\] 

A) 0                                 

B) 1

C) 10        

D) 30

Correct Answer: C

Solution :

\[\frac{{{(1.5)}^{3}}+{{(4.7)}^{3}}+{{(3.8)}^{3}}-3\times 1.5\times 4.7\times 3.8}{{{(1.5)}^{2}}+{{(4.7)}^{2}}+{{(3.8)}^{2}}-1.5\times 4.7-4.7}\] \[(1.5+4.7+3.8)[{{(1.5)}^{2}}+{{(4.7)}^{2}}+{{(3.8)}^{2}}]\] \[=\frac{-1.5\times 4.7-4.7\times 3.8-3.8\times 1.5}{{{(1.5)}^{2}}+{{(4.7)}^{2}}+{{(3.8)}^{2}}-1.5\times 4.7-4.7\times 3.8}\]             \[=1.5+4.7+3.8\]             \[=10\]