Simplify:$$\frac{732 \times 732 \times 732 + 268 \times 268 \times 268}{73.2 \times 73.2 + 26.8 \times 26.8 - 73.2 \times 26.8}$$​

Correct option is C

Given
Expression = $$\frac{732 \times 732 \times 732 + 268 \times 268 \times 268}{73.2 \times 73.2 + 26.8 \times 26.8 - 73.2 \times 26.8}$$​​
Formula Used
​$$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$$​​
Solution
Let a = 732 and b = 268.
Numerator = $$a^3 + b^3$$​​
Denominator = $$\frac{a^2}{100} + \frac{b^2}{100} - \frac{ab}{100} = \frac{1}{100}(a^2 - ab + b^2)$$​​
Expression = $$\frac{(a + b)(a^2 - ab + b^2)}{\frac{1}{100}(a^2 - ab + b^2)}$$​​
Expression = $$100 \times (a + b)$$​​
Expression = $$100 \times (732 + 268)$$​​
Expression = $$100 \times 1000 = 100000$$​​
Final Answer
So the correct answer is (c)