Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the expression of $(2 + \frac{1}{p})^2$ ?

Options:

$4 +\frac{4}{p}+\frac{1}{p^2}$

$2 +\frac{2}{p}+\frac{1}{p^2}$

$2 +\frac{4}{p}+\frac{1}{p^2}$

$4 +\frac{2}{p}+\frac{1}{p^2}$

Correct Answer:

$4 +\frac{4}{p}+\frac{1}{p^2}$

Explanation:

( a + b )2 = a2 + b2 + 2ab

$(2 + \frac{1}{p})^2$

$(2 + \frac{1}{p})^2$ = 22 + \(\frac{1}{p^2}\) + 2 × 2 × \(\frac{1}{p}\)

$(2 + \frac{1}{p})^2$ = $4 +\frac{4}{p}+\frac{1}{p^2}$