The value of $\frac{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}$ is:

0.09

$\frac{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}$

a³ + b³ = ( a + b ) ( a² + b² - ab )

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

So compare the following equation with the given formula.

a = 5.35

b = 3.65

Now, a + b = 5.35 + 3.65 = 9

So divide by 100 because of denominator = \(\frac{9}{100}\) = 0.09