(4pq/m-3)*(m^2-9/8q^2)

asked by guest
on Jan 23, 2025 at 5:24 am



You asked:

Evaluate the expression: \(\left(\frac{4 p q}{m} - 3\right) \left({m}^{2} - \frac{9}{8 {q}^{2}}\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(\frac{4 p q}{m} - 3\right) \left({m}^{2} - \frac{9}{8 {q}^{2}}\right) = \left(-3 + \frac{4 p q}{m}\right) \left(m^{2} - \frac{9}{8 q^{2}}\right) \)

Expanded

\[\left(\frac{4 p q}{m} - 3\right) \left({m}^{2} - \frac{9}{8 {q}^{2}}\right) = - 3 m^{2} + 4 m p q + \frac{27}{8 q^{2}} - \frac{9 p}{2 m q}\]

Factored

\[\left(\frac{4 p q}{m} - 3\right) \left({m}^{2} - \frac{9}{8 {q}^{2}}\right) = - \frac{\left(3 m - 4 p q\right) \left(8 m^{2} q^{2} - 9\right)}{8 q^{2} m}\]

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