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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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