(5-x)[(5-x)(2-x)-4]-2[4(2-x)-4]+2[8-(5-x)]

asked by guest
on Jan 12, 2025 at 6:12 pm



You asked:

Evaluate the expression: \(\left(5 - x\right) \left(\left(5 - x\right) \left(2 - x\right) - 4\right) - 2 \left(4 \left(2 - x\right) - 4\right) + 2 \left(8 - \left(5 - x\right)\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(5 - x\right) \left(\left(5 - x\right) \left(2 - x\right) - 4\right) - 2 \left(4 \left(2 - x\right) - 4\right) + 2 \left(8 - \left(5 - x\right)\right) = 10 x + \left(5 - x\right) \left(\left(2 - x\right) \left(5 - x\right) - 4\right) - 2 \)

Expanded

\[\left(5 - x\right) \left(\left(5 - x\right) \left(2 - x\right) - 4\right) - 2 \left(4 \left(2 - x\right) - 4\right) + 2 \left(8 - \left(5 - x\right)\right) = - x^{3} + 12 x^{2} - 31 x + 28\]

Factored

\[\left(5 - x\right) \left(\left(5 - x\right) \left(2 - x\right) - 4\right) - 2 \left(4 \left(2 - x\right) - 4\right) + 2 \left(8 - \left(5 - x\right)\right) = - x^{3} + 12 x^{2} - 31 x + 28\]

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