The value of $\frac{6.35 × 6.35 × 6.35 + 3.65 × 3.65 × 3.65}{63.5 × 63.5+ 36.5 × 36.5 -63.5 × 36.5}$ is equal to:
Answer & explanation
Correct answer: option 1
a3 + b3 = ( a + b ) ( a2 + b2 - ab )
( a + b ) = \(\frac{a^3 + b^3}{a^2 + b^2 - ab }\)\
Given,
$\frac{6.35 × 6.35 × 6.35 + 3.65 × 3.65 × 3.65}{63.5 × 63.5+ 36.5 × 36.5 -63.5 × 36.5}$
On comparing this equation with a3 + b3 = ( a + b ) ( a2 + b2 - ab ) we can conclude that
a = 6.35
b = 3.65
So the value of a + b = 6.35 + 3.65 = 10
a + b = \(\frac{10}{100}\) = 0.1 (Divided by 100 because of decimal)