Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Factorize the following expression: p3+27

Options:

(p-3)(p2-3p+9)

(p+3) (p2+3p+9)

(p+3) (p2-3p+9)

(p+3)(p2-3p-9)

Correct Answer:

(p+3) (p2-3p+9)

Explanation:

Factorize the following expression: p3+27

p3+27 can be written as p+ 3

We know that = a3 + b3 = ( a + b ) ( a2 + b2 - ab )

p+ 33  = (p+3) (p2-3p+9)