Ask Question
20 October, 10:00

Factor completely x2 - 49

+3
Answers (2)
  1. 20 October, 10:36
    0
    Answer: (x + 7) (x - 7)

    Step-by-step explanation:

    If a variable is taken to an even power, that variable is a perfect square. In this case, x² would therefore be a perfect square.

    Since 49 is also a perfect square, what we have here is the difference of two squares. That can be factored as the product of two binomials one with a plus in the middle and one with a minus in the middle.

    In the first position will be the factors of x² that are the same.

    So we have x and x.

    In the second position we will have the

    factors of 49 that are the same, 7 and 7.

    (x + 7) (x - 7) is your answer which is a factored version of x² - 49.
  2. 20 October, 12:18
    0
    Answer: (x + 7) (x - 7)

    Explanation: If a variable is taken to an even power, that variable is a perfect square. In this case, x² would therefore be a perfect square.

    Since 49 is also a perfect square, what we have here is the difference of two squares. That can be factored as the product of two binomials one with a plus in the middle and one with a minus in the middle.

    In the first position will be the factors of x² that are the same.

    So we have x and x.

    In the second position we will have the

    factors of 49 that are the same, 7 and 7.

    (x + 7) (x - 7) is your answer which is a factored version of x² - 49.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Factor completely x2 - 49 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers