1/q+1- q/q^2-1-q^2/q-q^4

asked by guest
on Nov 28, 2024 at 9:47 pm



You asked:

Evaluate the expression: \(\frac{1}{q} + 1 - \frac{q}{{q}^{2}} - 1 - \frac{{q}^{2}}{q} - {q}^{4}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{1}{q} + 1 - \frac{q}{{q}^{2}} - 1 - \frac{{q}^{2}}{q} - {q}^{4} = - q^{4} - q \)

Factored

\[\frac{1}{q} + 1 - \frac{q}{{q}^{2}} - 1 - \frac{{q}^{2}}{q} - {q}^{4} = - q \left(q + 1\right) \left(q^{2} - q + 1\right)\]

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