Sure, let's break down the expression [tex]\( x^2 + \frac{1}{2}x \)[/tex]:
1. Identifying the Terms: Observe that the expression [tex]\( x^2 + \frac{1}{2}x \)[/tex] has two distinct terms:
- The first term is [tex]\( x^2 \)[/tex], which is a quadratic term.
- The second term is [tex]\( \frac{1}{2}x \)[/tex], which is a linear term.
2. Simplifying the Linear Term: The linear term [tex]\( \frac{1}{2}x \)[/tex] can be seen as [tex]\( \frac{x}{2} \)[/tex]. This is already simplified.
3. Combining the Terms: Combine the quadratic term and the linear term to form the final expression.
Thus, the detailed expression combining both terms is:
[tex]\[ x^2 + \frac{1}{2}x \][/tex]
Now, let's rewrite it clearly:
[tex]\[ x^2 + \frac{1}{2}x \][/tex]
This is the simplified form of the expression.
If you have any more specific operations or transformations you are looking to perform with this expression, feel free to ask!
