Sure! Let's analyze and understand the mathematical expression [tex]\(9x + 2y^2\)[/tex].
1. Identify the Variables and Constants:
- Here, we have two variables: [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
- The coefficients of these variables are constants: 9 and 2, respectively.
2. Understand the Terms:
- The expression [tex]\(9x\)[/tex] represents a linear term because the variable [tex]\(x\)[/tex] is raised to the power of 1.
- The expression [tex]\(2y^2\)[/tex] represents a quadratic term because the variable [tex]\(y\)[/tex] is raised to the power of 2.
3. Combine the Terms:
- The term [tex]\(9x\)[/tex] indicates that [tex]\(x\)[/tex] is multiplied by 9.
- The term [tex]\(2y^2\)[/tex] indicates that [tex]\(y\)[/tex] is squared and then multiplied by 2.
4. Result:
- When you combine these terms, you get the final expression: [tex]\(9x + 2y^2\)[/tex].
Therefore, the detailed solution of this expression leads us directly to:
[tex]\[ 9x + 2y^2 \][/tex]
This expression is a combination of a linear and a quadratic term involving two different variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
