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    Simplify: 3((73)x2−25x+12)−7(x2+9x−13)3\left(\left(\frac{7}{3}\right)x^2 - 25x + 12\right) - 7 \left(x^2 + 9x - 13\right)3((37​)x2−25x+12)−7(x2+9
    Question

    Simplify: 3((73)x225x+12)7(x2+9x13)3\left(\left(\frac{7}{3}\right)x^2 - 25x + 12\right) - 7 \left(x^2 + 9x - 13\right).

    A.

    138x – 127

    B.

    –138x + 127

    C.

    138x + 127

    D.

    –138x – 127

    Correct option is B

    Given:

    3((73)x225x+12)7(x2+9x13)3\left(\left(\frac{7}{3}\right)x^2 - 25x + 12\right) - 7 \left(x^2 + 9x - 13\right) 

    Solution: 

    3((73)x225x+12)7(x2+9x13) =(7x275x+36)(7x2+63x91) =7x275x+367x263x+91 =138x+1273\left(\left(\frac{7}{3}\right)x^2 - 25x + 12\right) - 7 \left(x^2 + 9x - 13\right) \\ \ \\ = \left(7x^2 - 75x + 36\right) - \left(7x^2 + 63x - 91\right) \\ \ \\ = 7x^2 - 75x + 36 - 7x^2 - 63x + 91 \\ \ \\ = -138x +127

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