(3 $x^{3}$ + 8 $x^{2}$ - $x$ - 9) (10 $x^{3}$ + 9 $x^{2}$ - 9$x$ - 8)
You asked:
Evaluate the expression: \(\left(3 \cdot {x}^{3} + 8 \cdot {x}^{2} - x - 9\right) \cdot \left(10 \cdot {x}^{3} + 9 \cdot {x}^{2} - 9 x - 8\right)\)
MathBot Answer:
Evaluated
\(\displaystyle \left(3 \cdot {x}^{3} + 8 \cdot {x}^{2} - x - 9\right) \cdot \left(10 \cdot {x}^{3} + 9 \cdot {x}^{2} - 9 x - 8\right) = \left(3 x^{3} + 8 x^{2} - x - 9\right) \left(10 x^{3} + 9 x^{2} - 9 x - 8\right) \)
Expanded
\[\left(3 \cdot {x}^{3} + 8 \cdot {x}^{2} - x - 9\right) \cdot \left(10 \cdot {x}^{3} + 9 \cdot {x}^{2} - 9 x - 8\right) = 30 x^{6} + 107 x^{5} + 35 x^{4} - 195 x^{3} - 136 x^{2} + 89 x + 72\]
Factored
\[\left(3 \cdot {x}^{3} + 8 \cdot {x}^{2} - x - 9\right) \cdot \left(10 \cdot {x}^{3} + 9 \cdot {x}^{2} - 9 x - 8\right) = \left(x + 1\right) \left(10 x^{2} - x - 8\right) \left(3 x^{3} + 8 x^{2} - x - 9\right)\]