$(1+x/4)^{8}$
You asked:
Evaluate the expression: \({\left( 1 + \frac{x}{4} \right)}^{8}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( 1 + \frac{x}{4} \right)}^{8} = \left(\frac{x}{4} + 1\right)^{8} \)
Expanded
\[{\left( 1 + \frac{x}{4} \right)}^{8} = \frac{x^{8}}{65536} + \frac{x^{7}}{2048} + \frac{7 x^{6}}{1024} + \frac{7 x^{5}}{128} + \frac{35 x^{4}}{128} + \frac{7 x^{3}}{8} + \frac{7 x^{2}}{4} + 2 x + 1\]
Factored
\[{\left( 1 + \frac{x}{4} \right)}^{8} = \frac{\left(x + 4\right)^{8}}{65536}\]