Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

The value of $\frac{428×428×428+348×348×348}{428×428-428×348+348×348}$ is:

Options:

776

62080

80

40

Correct Answer:

776

Explanation:

$\frac{428×428×428+348×348×348}{428×428-428×348+348×348}$

a3 + b3 = ( a + b ) ( a2 + b2 - ab )

( a + b ) = \(\frac{a^3 + b^3}{a^2 + b^2 - ab }\)

So by comparing we get =

a = 428

b = 384

So, a + b = 428 + 342 = 776