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25 February, 13:35

Factor the perfect square trinomial 25x^2-60x+36

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  1. 25 February, 14:12
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    Since it is a perfect square trinomial, it is of the form:

    a^2x^2-2abx+b^2 which simplifies to (ax-b) ^2

    Therefore:

    sqrt (a) = sqrt (25) = 5

    sqrt (b) = sqrt (36) = 6

    Plug in a and b:

    (ax-b) ^2

    (5x-6) ^2

    Test to make sure it did fit the formula:

    -2abx=-60 (where x is 1)

    -2 (5) (6) = -60

    -2 (30) = -60

    -60=-60

    Answer:

    (5x-6) ^2
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