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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+1747x^2-108x+76)+(-7x^2-63x+98)=0x^2-171x+174​.
= -171x + 174

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