2/3(3x-2)-3/4(2x-2)

asked by guest
on Nov 25, 2024 at 10:17 am



You asked:

Evaluate the expression: \(\frac{2}{3 \cdot \left(3 x - 2\right)} - \frac{3}{4 \cdot \left(2 x - 2\right)}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{2}{3 \cdot \left(3 x - 2\right)} - \frac{3}{4 \cdot \left(2 x - 2\right)} = \frac{2}{9 x - 6} - \frac{3}{8 x - 8} \)

Expanded

\[\frac{2}{3 \cdot \left(3 x - 2\right)} - \frac{3}{4 \cdot \left(2 x - 2\right)} = \frac{2}{9 x - 6} - \frac{3}{8 x - 8}\]

Factored

\[\frac{2}{3 \cdot \left(3 x - 2\right)} - \frac{3}{4 \cdot \left(2 x - 2\right)} = - \frac{11 x - 2}{24 \cdot \left(3 x - 2\right) \left(x - 1\right)}\]

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