Final answer:
The student's algebraic multiplication problem (-5a + 7) x (8a - 9) is solved using the distributive property, resulting in the solution -40a² + 101a - 63.
Step-by-step explanation:
The student asked to multiply two algebraic expressions: (-5a + 7) x (8a - 9). This is a problem in algebra, which involves the use of the distributive property to expand the product of two binomials.
We can solve this by multiplying each term in the first binomial by each term in the second binomial as follows:
- Multiply -5a by 8a to get -40a².
- Multiply -5a by -9 to get +45a.
- Multiply 7 by 8a to get +56a.
- Multiply 7 by -9 to get -63.
Next, we combine like terms:
- Combine +45a and +56a to get +101a.
Putting it all together, we have our solution:
-40a² + 101a - 63