$\frac{775×775×775+225×225×225}{77.5×77.5+22.5×22.5-77.5×22.5}$ is equal to :
Answer & explanation
Correct answer: option 3
a3 + b3 = ( a + b ) ( a2 + b2 - ab )
( a + b ) = \(\frac{a^3 + b^3}{a^2 + b^2 - ab }\)
We can use this method =
\(\frac{1}{0.01}\) = 100, Take 100 as common then write in this form
\(\frac{ a^3 + b^3}{ a^2 + b^2 - ab }\) = a + b
100(775 + 225) = 100000