(5c-9)(5c+1)
To find the product of the expression (5c-9)(5c+1), you can use the distributive property of multiplication over addition/subtraction.
First, multiply the first terms in each parentheses:
5c * 5c = 25c^2
Next, multiply the outer terms:
5c * 1 = 5c
Then, multiply the inner terms:
-9 * 5c = -45c
Finally, multiply the last terms:
-9 * 1 = -9
Now, you can combine all the terms to get the final product:
25c^2 + 5c - 45c - 9
Simplify the middle terms:
25c^2 - 40c - 9
So, the product of (5c-9)(5c+1) is 25c^2 - 40c - 9.