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Simplify 2((62)x2−22x+15)−6(x2+5x−18)2\left(\left(\frac{6}{2}\right)x^2-22x+15\right)-6(x^2+5x-18)2((26​)x2−22x+15)−6(x2+5x−18).
Question

Simplify 2((62)x222x+15)6(x2+5x18)2\left(\left(\frac{6}{2}\right)x^2-22x+15\right)-6(x^2+5x-18).

A.

−74x − 138

B.

74x + 138

C.

74x − 138

D.

−74x + 138

Correct option is D

Given: 

2((62)x222x+15)6(x2+5x18)2\left(\left(\frac{6}{2}\right)x^2-22x+15\right)-6(x^2+5x-18) 

Solution: 

2((62)x222x+15)6(x2+5x18) =6x244x+306x230x+108 =74x+1382\left(\left(\frac{6}{2}\right)x^2-22x+15\right)-6(x^2+5x-18) \\ \ \\ = 6x^2-44x+30-6x^2-30x+108 \\ \ \\ = -74x+138​​

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