To solve the given polynomial expression [tex]\( 3y^2 - 0.63x^2y \)[/tex], we need to evaluate it based on the values of the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]. However, no specific values for [tex]\(x\)[/tex] and [tex]\(y\)[/tex] are provided, so we’ll focus on understanding and simplifying the expression as much as possible.
### Expression Breakdown
1. Identify Terms:
- The expression consists of two terms: [tex]\( 3y^2 \)[/tex] and [tex]\( -0.63x^2y \)[/tex].
2. Evaluate Each Term:
- [tex]\( 3y^2 \)[/tex]: This term is the product of 3 and [tex]\( y \)[/tex] squared.
- [tex]\( -0.63x^2y \)[/tex]: This term is the product of -0.63, [tex]\( x \)[/tex] squared, and [tex]\( y \)[/tex].
### Simplification
While we cannot simplify the expression without specific values for [tex]\(x\)[/tex] and [tex]\(y\)[/tex], we can rewrite it in a detailed form to clearly understand the components:
[tex]\[ 3y^2 - 0.63x^2y \][/tex]
Here’s the step-by-step breakdown of understanding the expression components:
1. First Term:
- [tex]\( 3y^2 \)[/tex] indicates that the variable [tex]\(y\)[/tex] is squared and then multiplied by 3.
2. Second Term:
- [tex]\( -0.63x^2y \)[/tex] indicates that the variable [tex]\(x\)[/tex] is squared, then multiplied by [tex]\(y\)[/tex], and the result is multiplied by -0.63.
### Simplified Expression
The polynomial [tex]\( 3y^2 - 0.63x^2y \)[/tex] cannot be simplified any further without specific values for [tex]\(x\)[/tex] and [tex]\(y\)[/tex], nor can we combine like terms since they differ in their exponents and variables.
### Conclusion
The expression written in polynomial form is:
[tex]\[ 3y^2 - 0.63x^2y \][/tex]
If you provide specific values for [tex]\(x\)[/tex] and [tex]\(y\)[/tex], we can substitute them into the expression to find a numerical result.
