Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify the following.

$\frac{762×762×762+316×316×316}{762×762-762×316+316×316}$

Options:

1064

1056

1042

1078

Correct Answer:

1078

Explanation:

$\frac{762×762×762+316×316×316}{762×762-762×316+316×316}$

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