Question
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Answer
The simplified form is \( \frac{2x+3}{4} \).
Solution
Calculate or simplify the expression \( (6x^2+9x)/12x \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(6x^{2}+9x\right)}{12x}\)
- step1: Remove the parentheses:
\(\frac{6x^{2}+9x}{12x}\)
- step2: Factor:
\(\frac{3x\left(2x+3\right)}{12x}\)
- step3: Reduce the fraction:
\(\frac{2x+3}{4}\)
The simplified form of the expression \( \frac{6x^{2}+9x}{12x} \) is \( \frac{2x+3}{4} \).
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Simplify this solution Bonus Knowledge
To simplify the expression \( \frac{6 x^{2}+9 x}{12 x} \), start by factoring the numerator. You can factor out a 3x from \( 6x^{2} + 9x \), resulting in \( 3x(2x + 3) \). Now the expression becomes \( \frac{3x(2x + 3)}{12x} \). You can cancel out the common factor of \( 3x \) in the numerator and \( 12x \) in the denominator. This simplifies to \( \frac{2x + 3}{4} \). Put simply, the final answer is \( \frac{2x + 3}{4} \).
