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13 September, 04:24

Factor perfect squares and differences of squares. Factor. x^2-4x+4

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Answers (2)
  1. 13 September, 06:40
    0
    (x - 2) ²

    Step-by-step explanation:

    We know an equation in standard form ax²+bx+c is a perfect square if:

    ± [2*√ (ax²) * √ (c) ] = bx

    Test for : x²-4x+4

    ± [2*√ (ax²) * √ (c) ] = bx

    ± [2*√ (x²) * √ (4) ] = - 4x

    ± [2*x*2] = - 4x

    -4x = - 4x

    Therefore this trinomial is a perfect square.

    To factor:

    (√ (ax²) ± √ (c)) ²

    ± depends on if the sign before the "b" value is positive or negative.

    In x²-4x+4, it's negative.

    x²-4x+4

    = (√ (ax²) ± √ (c)) ²

    = (x - 2) ²
  2. 13 September, 07:25
    0
    (x-2) ^2 is the answer.
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