Value of {(0.013)³ + (0.007)³}/{(0.013)² − 0.013×0.007 + (0.007)²}
The value of \[ \frac{(0.013)^3+(0.007)^3} {(0.013)^2-(0.013)(0.007)+(0.007)^2} \] is
(a) \(0.006\)
(b) \(0.02\)
(c) \(0.0091\)
(d) \(0.00185\)
Solution
\[ \frac{a^3+b^3}{a^2-ab+b^2}=a+b \]
Here,
\[ a=0.013,\quad b=0.007 \]
Therefore,
\[ =0.013+0.007 \]
\[ =0.02 \]
Therefore,
\[ \boxed{(b)\ 0.02} \]