Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

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

Options:

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

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

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

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

Correct Answer:

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

Explanation:

( a - b )2 = a2 + b2 - 2ab

 $(1-\frac{1}{p})^2$ = 12 + \(\frac{1}{p^2}\) - 2 × 1 × \(\frac{1}{p}\)

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