(x+2)(x+2+i)(x+2+i)
You asked:
Evaluate the expression: \(\left(x + 2\right) \cdot \left(x + 2 + i\right) \cdot \left(x + 2 + i\right)\)
MathBot Answer:
Evaluated
\(\displaystyle \left(x + 2\right) \cdot \left(x + 2 + i\right) \cdot \left(x + 2 + i\right) = \left(x + 2\right) \left(x + 2 + i\right)^{2} \)
Expanded
\[\left(x + 2\right) \cdot \left(x + 2 + i\right) \cdot \left(x + 2 + i\right) = x^{3} + 6 x^{2} + 2 x^{2} i + 11 x + 8 x i + 6 + 8 i\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).