Question Detail
Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}
- 113
- 1.13
- 11.3
- 113
Answer: Option C
Explanation:
\begin{aligned}
a^3 + b^3 = (a+b)(a^2 + b^2 - ab)
\end{aligned}
\begin{aligned}
= \frac{10.3^3 + 1^3}
{10.3^2 + 1^2 - 10.3 \times 1}
\end{aligned}
\begin{aligned}
= (a+b) = (10.3+1) = 11.3
\end{aligned}