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Which of the following is equivalent to the sum of the expressions a2 −1 and a + 1?
  • a)
    a2 + a
  • b)
    a3 −1
  • c)
    2a2
  • d)
    a3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following is equivalent to the sum of the expressions a2 ...
The sum of (a2 − 1) and (a + 1) can be rewritten as (a2 − 1) + (a + 1), or a2 − 1 + a + 1, which is equal to a2 + a + 0. Therefore, the sum of the two expressions is equal to a2 + a.
Choices B and D are incorrect. Since neither of the two expressions has a term with a3, the sum of the two expressions cannot have the term a3 when simplified. Choice C is incorrect. This choice may result from mistakenly adding the terms a2 and a to get 2a2.
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Which of the following is equivalent to the sum of the expressions a2 −1 and a + 1?a)a2 + ab)a3 −1c)2a2d)a3Correct answer is option 'A'. Can you explain this answer?
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