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    ​Simplify: 4(74x2−27x+19)−7(x2+9x−14)\text{Simplify: } 4\left(\frac{7}{4}x^2 - 27x + 19\right) - 7(x^2 + 9x - 14)Simplify: 4(47​x2−27x+19)−7
    Question

    Simplify: 4(74x227x+19)7(x2+9x14)\text{Simplify: } 4\left(\frac{7}{4}x^2 - 27x + 19\right) - 7(x^2 + 9x - 14)​​

    A.

    ​​171x+174

    B.

    ​171x-174​​

    C.

    ​​-171x+174

    D.

    ​​-171x-174

    Correct option is C

    Given:

    4(74x227x+19)7(x2+9x14)4\left(\frac{7}{4}x^2-27x+19\right)-7\left(x^2+9x-14\right)​​

    Solution:

    (7x2108x+76)+(7x263x+98) =0x2171x+174(7x^2-108x+76)+(-7x^2-63x+98) \\ \ \\ =0x^2-171x+174​.

    = -171x + 174

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