(2+1/x)^2

asked by guest
on Nov 20, 2024 at 1:14 am



You asked:

Evaluate the expression: \({\left( 2 + \frac{1}{x} \right)}^{2}\)

MathBot Answer:

\[{\left( 2 + \frac{1}{x} \right)}^{2} = \left(2 + \frac{1}{x}\right)^{2}\]


Expanded

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


Factored

\[{\left( 2 + \frac{1}{x} \right)}^{2} = \frac{\left(2 x + 1\right)^{2}}{x^{2}}\]