Final answer:
The simplified algebraic expression is -a^2 + ab + 5, and its value when a = 5 and b = -3 is -35.
Step-by-step explanation:
The student is asking how to simplify an algebraic expression and evaluate it given the values a = 5 and b = -3. The expression to simplify is 2(a2 + ab) - 3a2 - ab + 5. To address this question, we'll need to first expand the expression, combine like terms, and then substitute the values of a and b to find the simplified expression's value.
First, expand the parentheses: 2a2 + 2ab - 3a2 - ab + 5. Next, combine like terms: (2a2 - 3a2) + (2ab - ab) + 5 which simplifies to -a2 + ab + 5. Now, substituting the given values of a and b, we get -52 + (5)(-3) + 5 which is -25 - 15 + 5. Finally, the value of the expression when a = 5 and b = -3 is -35.