# How do you simplify #(3x^3)/ (12x^2+ 9x)#?

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To simplify the expression (3x^3)/(12x^2 + 9x), we can factor out the greatest common factor from both the numerator and the denominator. In this case, the greatest common factor is 3x. Factoring it out, we get:

(3x^3)/(12x^2 + 9x) = (3x * x^2)/(3x * (4x + 3))

Next, we can cancel out the common factors of 3x:

(3x * x^2)/(3x * (4x + 3)) = (x^2)/(4x + 3)

Therefore, the simplified form of (3x^3)/(12x^2 + 9x) is (x^2)/(4x + 3).

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