Problem

Simplify
\[
\frac{3 x+9}{5 x^{2}+15 x}
\]

Answer

Expert–verified
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Answer

Final Answer: \(\boxed{\frac{3}{5x}}\)

Steps

Step 1 :Define the variable x.

Step 2 :Define the expression \(\frac{3x + 9}{5x^2 + 15x}\).

Step 3 :Simplify the expression using algebraic methods.

Step 4 :The simplified expression is \(\frac{3}{5x}\). This is the simplest form of the expression, and there are no common factors in the numerator and the denominator that can be cancelled out.

Step 5 :Final Answer: \(\boxed{\frac{3}{5x}}\)

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