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:
Answer & explanation
Correct answer: option 1
$\frac{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}$
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