(5c-9)(5c+1)
To simplify the given expression (5c-9)(5c+1), we can use the distributive property of multiplication over addition.
Step 1: Multiply the terms in the first parentheses with the terms in the second parentheses.
(5c - 9)(5c + 1) = 5c * 5c + 5c * 1 - 9 * 5c - 9 * 1
Step 2: Simplify each term.
= 25c^2 + 5c - 45c - 9
Step 3: Combine like terms.
= 25c^2 - 40c - 9
Therefore, the simplified form of (5c-9)(5c+1) is 25c^2 - 40c - 9.