Question

$$\frac{ 1 }{ 2 } (2 { x }^{ 2 } +x-2)$$

Answer

(x*(2*x+1))/2-1

Solution


Simplify.
\[\frac{2{x}^{2}+x-2}{2}\]
Simplify.
\[-1+\frac{2{x}^{2}+x}{2}\]
Factor out the common term \(x\).
\[-1+\frac{x(2x+1)}{2}\]
Regroup terms.
\[\frac{x(2x+1)}{2}-1\]