(-9$x^{2}$ -2x +3)(3 $x^{3}$ - $x^{2}$ -3x +1)
You asked:
Evaluate the expression: \(\left(-\left( 9 \cdot {x}^{2} \right) - 2 x + 3\right) \cdot \left(3 \cdot {x}^{3} - {x}^{2} - 3 x + 1\right)\)
MathBot Answer:
Evaluated
\(\displaystyle \left(-\left( 9 \cdot {x}^{2} \right) - 2 x + 3\right) \cdot \left(3 \cdot {x}^{3} - {x}^{2} - 3 x + 1\right) = \left(- 9 x^{2} - 2 x + 3\right) \left(3 x^{3} - x^{2} - 3 x + 1\right) \)
Expanded
\[\left(-\left( 9 \cdot {x}^{2} \right) - 2 x + 3\right) \cdot \left(3 \cdot {x}^{3} - {x}^{2} - 3 x + 1\right) = - 27 x^{5} + 3 x^{4} + 38 x^{3} - 6 x^{2} - 11 x + 3\]
Factored
\[\left(-\left( 9 \cdot {x}^{2} \right) - 2 x + 3\right) \cdot \left(3 \cdot {x}^{3} - {x}^{2} - 3 x + 1\right) = - \left(3 x - 1\right) \left(x - 1\right) \left(x + 1\right) \left(9 x^{2} + 2 x - 3\right)\]