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Simplify:  3(9x3−6x2+30)−9(3x3−2x+30)3(9x^3 - 6x^2 + 30) - 9(3x^3 - 2x + 30)3(9x3−6x2+30)−9(3x3−2x+30)​​
Question

Simplify:  3(9x36x2+30)9(3x32x+30)3(9x^3 - 6x^2 + 30) - 9(3x^3 - 2x + 30)​​

A.

18(x2+x+10)18 ( x^2 + x + 10)

B.

18(x2+x10)18 (x^2 + x - 10)

C.

18(x2x+10)-18 (x^2 - x +10)

D.

18(x2+x18)18 (x^2 + x - 18)

Correct option is C

Given: 

3(9x36x2+30)9(3x32x+30)3 ( 9x^3 - 6 x^2 + 30) -9 ( 3x^3 - 2x + 30)  

Solution : 

Solving the Expression : 

3(9x36x2+30)9(3x32x+30)3 ( 9x^3 - 6 x^2 + 30) -9 ( 3x^3 - 2x + 30)

27x318x2+9027x3+18x270=027x^3 - 18x^2 + 90 - 27x^3 + 18x - 270 = 0 

18x2+18x180=0- 18 x^2 + 18 x - 180 = 0 

18(x2x+10)-18 (x^2 - x +10) = 0 


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