(1+4x)(1-x)(1+2x)
You asked:
Evaluate the expression: \(\left(1 + 4 x\right) \cdot \left(1 - x\right) \cdot \left(1 + 2 x\right)\)
MathBot Answer:
Evaluated
\(\displaystyle \left(1 + 4 x\right) \cdot \left(1 - x\right) \cdot \left(1 + 2 x\right) = \left(1 - x\right) \left(2 x + 1\right) \left(4 x + 1\right) \)
Expanded
\[\left(1 + 4 x\right) \cdot \left(1 - x\right) \cdot \left(1 + 2 x\right) = - 8 x^{3} + 2 x^{2} + 5 x + 1\]
Factored
\[\left(1 + 4 x\right) \cdot \left(1 - x\right) \cdot \left(1 + 2 x\right) = - \left(2 x + 1\right) \left(4 x + 1\right) \left(x - 1\right)\]