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intermediate algebra

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Factor the expression 64a^2-16ab+b^2 into a product of binomials

  • intermediate algebra - ,

    Use the AC method.

    A*C = 64(1) = (-8)(-8).
    64a^2 + (-8ab-8ab) + b^3 =
    Arrange the 4 terms to form 2 factorable pairs:
    (64a^2-8ab)) + (-8ab+b^2) =
    -8a(-8a+b) + b(-8a+b) =
    (-8a+b)(-8a+b).

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