Sure! Let's work through this step by step to understand the expression provided:
We need to simplify or express the given expression: [tex]\(9x + 2y^2\)[/tex].
Here's what each term in the expression represents:
1. First Term: [tex]\(9x\)[/tex]
- This term consists of a coefficient (9) multiplied by the variable [tex]\(x\)[/tex]. The expression is linear in [tex]\(x\)[/tex].
2. Second Term: [tex]\(2y^2\)[/tex]
- This term consists of a coefficient (2) multiplied by the square of the variable [tex]\(y\)[/tex]. The expression is quadratic in [tex]\(y\)[/tex].
When we add these two terms together, we get the full expression:
[tex]\[ 9x + 2y^2 \][/tex]
This is a binomial expression where:
- The [tex]\(x\)[/tex]-term ([tex]\(9x\)[/tex]) is linear.
- The [tex]\(y\)[/tex]-term ([tex]\(2y^2\)[/tex]) is quadratic.
In conclusion, the expression is:
[tex]\[ \boxed{9x + 2y^2} \][/tex]
