Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

The value of $\frac{(793+232)^2-(793-232)^2}{(793×232)}$ is

Options:

7930

4

2

2320

Correct Answer:

4

Explanation:

(a + b)2 = a2 + b2 + 2ab

(a - b)2 = a2 + b2 - 2ab

(a + b)2 - (a - b)2 = (a2 + b2 + 2ab) - (a2 + b2 - 2ab) = 4ab

Using this formula in,

$\frac{(793+232)^2-(793-232)^2}{(793×232)}$ = $\frac{4 × 793 × 232}{(793×232)}$ = 4