Maths-
General
Easy

Question

Which of the following is equivalent to the sum of the expressions a2 - 1 and a + 1 ?

  1. a2 +a
  2. a3 - 1
  3. 2a2
  4. a3

The correct answer is: a2 +a


    Solution:- (A) a2 + a
    • Given two equations are a2 - 1 and  a + 1.
    Let  A = a2 – 1 and B = a + 1
    • We have to find equivalent sum of both the expressions.
    • Lets X be the sum of both the sums,
    X = A + B
    • Lets put the values of A and B in the equation
    X = (a2 – 1) + (a + 1)
    X =  a2 – 1 + a + 1
    • We can see that there are two terms -1 and 1, if we add both of them their sum will be 0.
    X=  a2 + a
    • Therefore, the correct option is (A) a2 + a

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