The value of $\frac{427\times427\times427+325\times325\times}{42.7\times 42.7 +32.5\times32.5-42.7\times32.5}$ is:

75200

$\frac{427\times427\times427+325\times325\times}{42.7\times 42.7 +32.5\times32.5-42.7\times32.5}$

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