Simplify the following.
$\frac{762×762×762+316×316×316}{762×762-762×316+316×316}$
Answer & explanation
Correct answer: option 4
$\frac{762×762×762+316×316×316}{762×762-762×316+316×316}$
a3 + b3 = ( a + b ) ( a2 + b2 - ab )
( a + b ) = \(\frac{a^3 + b^3}{a^2 + b^2 - ab }\)
a = 762
b = 316
$\frac{762×762×762+316×316×316}{762×762-762×316+316×316}$ = ( a + b )
= 762 + 316 = 1078