Sure, let's simplify the given expression step-by-step. The expression we need to simplify is:
[tex]\[ 5ab - ab^2 + 5a + ba + 4ab + 3 \][/tex]
1. Combine Like Terms:
- First, combine all the terms that contain [tex]\(ab\)[/tex]:
[tex]\[ 5ab + 4ab + ba \][/tex]
Notice that [tex]\(ba\)[/tex] is the same as [tex]\(ab\)[/tex], so we can treat it as [tex]\(ab\)[/tex]:
[tex]\[ 5ab + 4ab + ab = 10ab \][/tex]
2. Rewrite the Expression:
- Substitute the combined like terms back into the original expression:
[tex]\[ 10ab - ab^2 + 5a + 3 \][/tex]
3. Simplified Expression:
- Now, the expression is simplified as much as possible:
[tex]\[ -ab^2 + 10ab + 5a + 3 \][/tex]
So, the simplified form of the given expression [tex]\(5ab - ab^2 + 5a + ba + 4ab + 3\)[/tex] is:
[tex]\[ -ab^2 + 10ab + 5a + 3 \][/tex]
