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23 August, 00:59

X+3 divided by X2 + X-6

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  1. 23 August, 03:11
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    =1 / (x-2)

    Step-by-step explanation:

    X+3 divided by X2 + X-6

    = [x + 3] / [ x^2 + x - 6]

    factor the denominator

    We can use the X-method of factoring the trinomial.

    so.

    x^2 + x - 6 = (x + 3) (x - 2) since 3*-2 = - 6 and 3 - 2 = 1

    so

    = [x + 3] / [ x^2 + x - 6]

    = (x + 3) / (x + 3) (x - 2)

    = 1 / (x-2)
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