Final answer:
To find the value of the polynomial, simplify by combining like terms, resulting in the expression a²b - ab + 6. The specific value of the polynomial requires the values for a and b.
Step-by-step explanation:
The question asks to find the value of a given polynomial expression. We simplify the polynomial by combining like terms. Starting with the expression 4a²b - ab² - 3a²b + ab² - ab + 6, we combine terms.
First, combine the like terms that have a²b: 4a²b - 3a²b simplifies to a²b.
Next, combine the like terms that have ab²: -ab² + ab² cancel each other out, resulting in 0.
Then, when we look at the remaining terms of -ab and 6, they do not combine with any other terms. So the simplified expression is a²b - ab + 6.
To find the value of this simplified expression, one would need specific values for a and b.