Final answer:
To multiply the algebraic expressions (8s-1) and (10s+9), you distribute each term of the first expression across the terms of the second, resulting in the simplified expression 80s^2 + 62s - 9.
Step-by-step explanation:
To multiply the algebraic expressions (8s-1) and (10s+9), we'll use the distributive property. This property allows us to multiply each term of the first expression by each term of the second expression.
Step-by-step multiplication:
Multiply the first term of the first expression by each term of the second expression: 8s × 10s = 80s2 and 8s × 9 = 72s.
Multiply the second term of the first expression by each term of the second expression: -1 × 10s = -10s and -1 × 9 = -9.
Add the results together to get the final expression: 80s2 + 72s - 10s - 9.
Combine like terms to simplify: 80s2 + 62s - 9.
The final simplified expression after multiplication is 80s2 + 62s - 9.