p= 3 + 1/p
Find value of
4p/ (p²-p+1)
You asked:
Given \(p = 3 + \frac{1}{p}\) evaluate the expression \(\frac{4 p}{{p}^{2} - p + 1}\).
MathBot Answer:
\[\frac{4 p}{{p}^{2} - p + 1} = \frac{4 \left(3 + \frac{1}{p}\right)}{{\left( 3 + \frac{1}{p} \right)}^{2} - \left(3 + \frac{1}{p}\right) + 1} = \frac{4 \cdot \left(3 + \frac{1}{p}\right)}{\left(3 + \frac{1}{p}\right)^{2} - 2 - \frac{1}{p}}\]