x^6-4x^5+4x^4-x^2+4x-4

asked by guest
on Nov 17, 2024 at 9:43 pm



You asked:

Evaluate the expression: \({x}^{6} - 4 \cdot {x}^{5} + 4 \cdot {x}^{4} - {x}^{2} + 4 x - 4\)

MathBot Answer:

Evaluated



\(\displaystyle {x}^{6} - 4 \cdot {x}^{5} + 4 \cdot {x}^{4} - {x}^{2} + 4 x - 4 = x^{6} - 4 x^{5} + 4 x^{4} - x^{2} + 4 x - 4 \)

Factored

\[{x}^{6} - 4 \cdot {x}^{5} + 4 \cdot {x}^{4} - {x}^{2} + 4 x - 4 = \left(x^{2} + 1\right) \left(x - 2\right)^{2} \left(x - 1\right) \left(x + 1\right)\]

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