Answer: (2x + 1)(5x + 5) is 10x^2 + 15x + 5.
Explanation:
First, we multiply the terms in the first parentheses, 2x and 1, by the terms in the second parentheses, 5x and 5, respectively.
(2x + 1)(5x + 5) = (2x * 5x) + (2x * 5) + (1 * 5x) + (1 * 5)
Simplifying this expression, we get:
10x^2 + 10x + 5x + 5
Next, we combine like terms:
10x^2 + (10x + 5x) + 5
Now, we simplify the terms within the parentheses:
10x^2 + 15x + 5