Absolutely! Let's break down and simplify the given expression step-by-step:
The given expression is:
[tex]\[ 3a - b^2 + 2a^2x - 6ax \][/tex]
We'll tackle each term one by one and then combine them in a simplified form.
1. Identify and group like terms:
- The term [tex]\(3a\)[/tex] is a linear term with respect to [tex]\(a\)[/tex].
- The term [tex]\(-b^2\)[/tex] is a quadratic term with respect to [tex]\(b\)[/tex].
- The term [tex]\(2a^2x\)[/tex] is a higher-order term involving [tex]\(a^2\)[/tex] and [tex]\(x\)[/tex].
- The term [tex]\(-6ax\)[/tex] is a combined linear term involving [tex]\(a\)[/tex] and [tex]\(x\)[/tex].
2. Combine like terms:
Each term in the provided expression is unique in terms of their variables and degrees, so there are no further simplifications by combining. Thus, we can directly write down the simplified version:
[tex]\[ 2a^2x - 6ax + 3a - b^2 \][/tex]
In summary, the expression [tex]\(3a - b^2 + 2a^2x - 6ax\)[/tex] simplifies to:
[tex]\[ 2a^2x - 6ax + 3a - b^2 \][/tex]
This is the final, simplified form of the given expression.
