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​Simplify: 3((73)x2−27x+14)−7(x2+8x−11)3 \left( (\frac{7}{3}) x^2 - 27x + 14 \right) - 7 \left( x^2 + 8x - 11 \right)3((37​)x2−27x+14)−7(x2+8x−11
Question

Simplify: 3((73)x227x+14)7(x2+8x11)3 \left( (\frac{7}{3}) x^2 - 27x + 14 \right) - 7 \left( x^2 + 8x - 11 \right)

A.

137x119-137x-119​​

B.

137x119137x-119​​

C.

137x+119-137x+119​​

D.

137x+119137x+119​​

Correct option is C

Given:

3 ⁣(73x227x+14)7(x2+8x11)3\!\left(\frac{7}{3}x^{2}-27x+14\right)-7(x^{2}+8x-11)

Solution:

3 ⁣(73x227x+14)7(x2+8x11) =7x281x+427x256x+77 =137x+1193\!\left(\frac{7}{3}x^{2}-27x+14\right)-7(x^{2}+8x-11) \\ \ \\ = 7x^{2}-81x+42-7x^{2}-56x+77 \\ \ \\=-137x+119

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