$(1-x/2)^{8}$

asked by guest
on Nov 18, 2024 at 1:49 pm



You asked:

Evaluate the expression: \({\left( 1 - \frac{x}{2} \right)}^{8}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( 1 - \frac{x}{2} \right)}^{8} = \left(1 - \frac{x}{2}\right)^{8} \)

Expanded

\[{\left( 1 - \frac{x}{2} \right)}^{8} = \frac{x^{8}}{256} - \frac{x^{7}}{16} + \frac{7 x^{6}}{16} - \frac{7 x^{5}}{4} + \frac{35 x^{4}}{8} - 7 x^{3} + 7 x^{2} - 4 x + 1\]

Factored

\[{\left( 1 - \frac{x}{2} \right)}^{8} = \frac{\left(x - 2\right)^{8}}{256}\]

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