Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

(a + b − c + d)2 - (a − b + c − d)2 = ?

Options:

4a(b + d - c)

2a(a + b - c)

2a(b + c - d)

4a(b - d + c)

Correct Answer:

4a(b + d - c)

Explanation:

Given,

(a + b – c + d)2 – (a – b + c – d)2

Put a = 1, b = 2, c = 3 and d = 4 and satisfy from the options,

= (1 + 2 – 3 + 4)2 – (1 – 2 + 3 – 4)2

= 16 – 4 = 12

If we check option 2 =

4a (b + d – c)

= 4 × 1 (2 + 4 – 3)

= 4 × 3

= 12 (satisfied)

So the answer  is = 4a (b + d – c)