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

asked by guest
on Nov 14, 2024 at 2:53 pm



You asked:

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

MathBot Answer:

Evaluated



\(\displaystyle 5 - x \cdot \left(\left(2 - x\right) \cdot \left(5 - x\right) - 4\right) + 2 \cdot \left(-\left( 2 \cdot \left(5 - x\right) \right) + 8\right) + 4 \cdot \left(-4 + 4 \cdot \left(2 - x\right)\right) = - x \left(\left(2 - x\right) \left(5 - x\right) - 4\right) - 12 x + 17 \)

Expanded

\[5 - x \cdot \left(\left(2 - x\right) \cdot \left(5 - x\right) - 4\right) + 2 \cdot \left(-\left( 2 \cdot \left(5 - x\right) \right) + 8\right) + 4 \cdot \left(-4 + 4 \cdot \left(2 - x\right)\right) = - x^{3} + 7 x^{2} - 18 x + 17\]

Factored

\[5 - x \cdot \left(\left(2 - x\right) \cdot \left(5 - x\right) - 4\right) + 2 \cdot \left(-\left( 2 \cdot \left(5 - x\right) \right) + 8\right) + 4 \cdot \left(-4 + 4 \cdot \left(2 - x\right)\right) = - x^{3} + 7 x^{2} - 18 x + 17\]

+ Submit Question