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24 June, 09:30

How to distribute - 2 (x-3) ^2

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  1. 24 June, 10:11
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    The distributed form of - 2 (x-3) ^2 is - 2x^2 + 12x - 18.

    Step-by-step explanation:

    The given question is - 2 (x-3) ^2

    step 1 : The formula for (a-b) ^2 = a^2 - 2ab + b^2

    step 2 : Here, the term (x-3) ^2 = x^2 - (2*3x) + 3^2

    = x^2 - 6x + 9

    step 3 : The expanded form = - 2 (x^2 - 6x + 9)

    step 4 : where - 2 can be distributed to each term inside the bracket.

    Therefore, - 2 (x^2 - 6x + 9) = - 2x^2 + 12x - 18
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