Answer :
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!
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!
