Simplify: [(3x– 12) / (3x)] divided by (x– 4)

asked by guest
on Nov 15, 2024 at 7:19 am



You asked:

Simplify the expression: 3x−123xx−4\frac{\frac{3 x - 12}{3 x}}{x - 4}

MathBot Answer:

Simplified:

3x−123xx−4=1x \frac{\frac{3 x - 12}{3 x}}{x - 4} = \frac{1}{x}

3x−123x(x−4)=3x−12(x−4)3x=1x\begin{aligned}\frac{3 x - 12}{3 x \left(x - 4\right)}&=\frac{3 x - 12}{\left(x - 4\right) 3 x}\\&=\frac{1}{x}\end{aligned}

Expanded:

3x−123xx−4=3x3x2−12x−123x2−12x \frac{\frac{3 x - 12}{3 x}}{x - 4} = \frac{3 x}{3 x^{2} - 12 x} - \frac{12}{3 x^{2} - 12 x}

Factored:

3x−123xx−4=1x \frac{\frac{3 x - 12}{3 x}}{x - 4} = \frac{1}{x}


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