Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

The factors of $a^2 - 1 - 2x - x^2 $ are ________.

Options:

(a - x - 1) (a - x - 1)

(a + 1 + x) (a - 1 - x)

(a - x + 1) (a - x + 1)

(a - x + 1) (a - x - 1)

Correct Answer:

(a + 1 + x) (a - 1 - x)

Explanation:

(a2 - b2) = (a + b)(a - b)

a2 - 1 - 2x - x2 

= a2 - (1 + 2x + x2)

= a- (1 + 2x + x2) = (a + 1 + x) (a - 1 - x)