y^2 - y^-4

asked by guest
on Nov 13, 2024 at 9:17 pm



You asked:

Evaluate the expression: y2−y−4{y}^{2} - {y}^{-4}

MathBot Answer:

y2−y−4=y2−1y4{y}^{2} - {y}^{-4} = y^{2} - \frac{1}{y^{4}}

Factored

y2−y−4=(y−1)(y+1)(y2−y+1)(y2+y+1)y4{y}^{2} - {y}^{-4} = \frac{\left(y - 1\right) \left(y + 1\right) \left(y^{2} - y + 1\right) \left(y^{2} + y + 1\right)}{y^{4}}

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