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26 September, 07:22

What is a difference of squares that has a factor of x+8?

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Answers (2)
  1. 26 September, 10:30
    0
    its c

    Step-by-step explanation:

    did it on edgunity
  2. 26 September, 11:18
    0
    x^2 - 64

    Step-by-step explanation:

    A difference of squares is a special product in the form (a^2 - b^2) ... their factored form is (a - b) (a + b) ...

    Thus here a = x and b = 8, thus if x + 8 is a factor, then x - 8 is also a factor ...

    (x + 8) (x - 8) <- - expand this out using difference of squares rules ...

    = (x) ^2 - (8) ^2

    = x^2 - 64 <- - answer ...

    You could also expand that using FOIL (FOIL - first, outer, inner, last) ...

    (x + 8) (x - 8)

    = (x) (x) + (x) (-8) + (8) (x) + (8) (-8)

    = x^2 - 8x + 8x - 64 <- - the - 8x and 8x cancels out ... leaving you with ...

    = x^2 - 64
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