78989
AssignmentMultiple Choice

Multiplying Monomials and Binomials

Question 78989 • FL-1200700-Mathematics for College Algebra MIS

Multiply: (5t – 4)(4t + 5)What is the product?

Answer
A
20t2 + 9t – 20
B
20t2 + 18t – 19
C
20t2 + 25t – 36
D
20t2 + 41t – 20

Explanation

Multiply each term in the first binomial by each term in the second: (5t)(4t) = 20t², (5t)(5) = 25t, (−4)(4t) = −16t, and (−4)(5) = −20. Combine the middle terms: 25t − 16t = 9t. The product is 20t² + 9t − 20, choice A.

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