What is the value of (a - b), if (a^2 - b^2)/(a + b) = 25?

Ravi Chauhan • 9.28K Points
Tutor III Math

Q. What is the value of (a - b), if (a^2 - b^2)/(a + b) = 25?

(A) 36

(B) 22

(D) 25

Correct Answer - Option(D)

Explanation by: Ravi Chauhan

According to the identity,

a^2 - b^2 = (a + b) (a - b)

It is given that (a^2 - b^2)/(a + b) = 25

So, it can be written as (a + b) (a - b)/(a + b) = 25

Hence, (a - b) = 25

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