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10 September, 13:12

Factor completely x2 - 49

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Answers (2)
  1. 10 September, 14:58
    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. 10 September, 16:48
    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.
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