Discussion Forum



1)

Simplify $\frac{0.05\times0.05\times0.05+0.04\times0.04\times0.04}{0.05\times0.05-0.05\times0.04+0.04\times0.04}$


A) 0.09

B) 0.009

C) 0.08

D) 0.008

Answer:

Option A

Explanation:

Given, $\frac{0.05\times0.05\times0.05+0.04\times0.04\times0.04}{0.05\times0.05-0.05\times0.04+0.04\times0.04}$
$=\frac{a^{3}+b^{3}}{a^{2}-ab+b^{2}}$ = a+b
where a= 0.05 and b= 0.04
So, a+b = 0.09