(1-y)*(-1-y)*(4-y)-((-2)*(-1-y)*(-2))

asked by guest
on Nov 19, 2024 at 7:28 am



You asked:

Evaluate the expression: \(\left(1 - y\right) \cdot \left(-1 - y\right) \cdot \left(4 - y\right) - -2 \cdot \left(-1 - y\right) \cdot -2\)

MathBot Answer:

Evaluated



\(\displaystyle \left(1 - y\right) \cdot \left(-1 - y\right) \cdot \left(4 - y\right) - -2 \cdot \left(-1 - y\right) \cdot -2 = 4 y + \left(1 - y\right) \left(4 - y\right) \left(- y - 1\right) + 4 \)

Expanded

\[\left(1 - y\right) \cdot \left(-1 - y\right) \cdot \left(4 - y\right) - -2 \cdot \left(-1 - y\right) \cdot -2 = - y^{3} + 4 y^{2} + 5 y\]

Factored

\[\left(1 - y\right) \cdot \left(-1 - y\right) \cdot \left(4 - y\right) - -2 \cdot \left(-1 - y\right) \cdot -2 = - y \left(y - 5\right) \left(y + 1\right)\]

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