Sure! Let’s write a detailed, step-by-step solution for simplifying the given quadratic expression.
### Problem: Simplify [tex]\( 18x^2 + 3x - 10 \)[/tex]
### Step 1: Write down the expression
We start with the quadratic expression:
[tex]\[ 18x^2 + 3x - 10 \][/tex]
### Step 2: Identify each term
The expression consists of three terms:
- The quadratic term: [tex]\( 18x^2 \)[/tex]
- The linear term: [tex]\( 3x \)[/tex]
- The constant term: [tex]\(-10\)[/tex]
### Step 3: Combine like terms (if any)
In this case, there are no like terms to combine as each term is distinct: a quadratic term, a linear term, and a constant term. Thus, the expression remains:
[tex]\[ 18x^2 + 3x - 10 \][/tex]
### Conclusion
After confirming there are no like terms to combine and recognizing the distinct components of the quadratic expression, we have our simplified form:
[tex]\[ 18x^2 + 3x - 10 \][/tex]
That’s the simplified form of the given expression.
