Sure, let's go through a detailed, step-by-step solution for this expression.
Given:
[tex]\[ 25x^2 + 36y^2 \][/tex]
Step 1: Understanding the components of the expression
The given expression has two distinct terms:
1. [tex]\( 25x^2 \)[/tex]
2. [tex]\( 36y^2 \)[/tex]
These terms are combined using the addition operator.
Step 2: Coefficient and variable analysis
Each term consists of:
- A coefficient: [tex]\( 25 \)[/tex] for the first term and [tex]\( 36 \)[/tex] for the second term.
- A variable raised to the power of two: [tex]\( x^2 \)[/tex] for the first term and [tex]\( y^2 \)[/tex] for the second term.
Step 3: Identifying the squared terms
Let's identify each part of the squared terms separately:
- [tex]\( 25x^2 \)[/tex] means [tex]\( 25 \)[/tex] is multiplying [tex]\( x \)[/tex] squared.
- [tex]\( 36y^2 \)[/tex] means [tex]\( 36 \)[/tex] is multiplying [tex]\( y \)[/tex] squared.
Step 4: Reviewing the final expression
Putting it all together, we have:
[tex]\[ 25x^2 + 36y^2 \][/tex]
So, the detailed step-by-step consideration of the expression shows that the terms and structure of the given mathematical expression are:
[tex]\[ 25x^2 + 36y^2 \][/tex]
This is an equation of the sum of two squared terms with their respective coefficients.
