Question

Simplified value of $\frac{8.73\times 8.73\times 8.73+4.27\times 4.27\times 4.27}{8.73\times 8.73-8.73\times 4.27+4.27\times 4.27}$ is:

• A. $11$
• B. $12$
• C. $13$
• D. $14$

Answer 1

Answer: (C)

$13$

The given question is of the form $\frac{a^3+b^3}{a^2-ab+b^2}$, where $a=8.73$ and $b=4.27$

Now, $\frac{a^3+b^3}{a^2-ab+b^2}=\frac{(a+b)(a^2-ab+b^2)}{a^2-ab+b^2}=a+b$

$\therefore a+b=8.73+4.27=13$