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31 July, 13:09

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

A: x2-4

B: x2-16

C: x2-64

D: x2-256

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Answers (2)
  1. 31 July, 13:22
    0
    C: x2-64

    Step-by-step explanation:

    Simplifying A: x2-4

    Applying the formula a^2-b^2 = (a+b) (a-b)

    = (x+2) (x-2)

    Simplifying B: x2-16

    Applying the formula a^2-b^2 = (a+b) (a-b)

    = (x+4) (x-4)

    Simplifying C:x2-64

    Applying the formula a^2-b^2 = (a+b) (a-b)

    = (x+8) (x-8)

    Simplifying D: x2-256

    Applying the formula a^2-b^2 = (a+b) (a-b)

    = (x+16) (x-16)

    C: x2-64 is a difference of squares that has a factor of x+8!
  2. 31 July, 13:28
    0
    C

    Step-by-step explanation:

    a² - b² ← is a difference of squares and factors as

    (a - b) (a + b)

    We are looking for an expression with 8² = 64

    x² - 64 ← is a difference of squares

    with a = x and b = 8, so

    (x - 8) (x + 8) ← in factored form
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