9/m-3 - 2/m+4 + 3/2(m-3)

asked by guest
on Oct 22, 2024 at 6:23 pm



You asked:

Evaluate the expression: \(\frac{9}{m} - 3 - \frac{2}{m} + 4 + \frac{3}{2 \cdot \left(m - 3\right)}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{9}{m} - 3 - \frac{2}{m} + 4 + \frac{3}{2 \cdot \left(m - 3\right)} = 1 + \frac{3}{2 m - 6} + \frac{7}{m} \)

Expanded

\[\frac{9}{m} - 3 - \frac{2}{m} + 4 + \frac{3}{2 \cdot \left(m - 3\right)} = 1 + \frac{3}{2 m - 6} + \frac{7}{m}\]

Factored

\[\frac{9}{m} - 3 - \frac{2}{m} + 4 + \frac{3}{2 \cdot \left(m - 3\right)} = \frac{2 m^{2} + 11 m - 42}{2 m \left(m - 3\right)}\]

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