The value of $\frac{427\times427\times427+325\times325\times}{42.7\times 42.7 +32.5\times32.5-42.7\times32.5}$ is:
Answer & explanation
Correct answer: option 3
$\frac{427\times427\times427+325\times325\times}{42.7\times 42.7 +32.5\times32.5-42.7\times32.5}$
a3 + b3 = ( a + b ) ( a2 + b2 - ab )
( a + b ) = \(\frac{a^3 + b^3}{a^2 + b^2 - ab }\)
On comparing both the equations we get,
a = 427
b = 235
a + b = 427 + 325 = 752
Multiply 752 by 100 because of the decimals given in the denominator, = 752 $\times$ 100 = 75200