Question
Which of the following is equivalent to the sum of the expressions a2 - 1 and a + 1 ?
- a2 +a
- a3 - 1
- 2a2
- 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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