(x-x^3)^2

asked by guest
on Oct 22, 2024 at 4:08 pm



You asked:

Evaluate the expression: \({\left( x - {x}^{3} \right)}^{2}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( x - {x}^{3} \right)}^{2} = \left(- x^{3} + x\right)^{2} \)


Expanded

\[{\left( x - {x}^{3} \right)}^{2} = x^{6} - 2 x^{4} + x^{2}\]


Factored

\[{\left( x - {x}^{3} \right)}^{2} = x^{2} \left(x - 1\right)^{2} \left(x + 1\right)^{2}\]