Question

Reach the correct answer to a problem and explain your process.

1. Work/thinking is shown with appropriate steps/process.
2. Solution is accurate and checked.
3. Appropriate units/labels/symbols are used.
4. Explain how you reached your solution and how it relates to the problem.

A. Find m
(2x + 1)(5x + 5)

B. What is the answer?

Answer 1

To solve the problem (2x + 1)(5x + 5), we need to use the distributive property. By multiplying each term in the first expression by each term in the second expression and combining like terms, we can simplify the expression and find the solution.

Step-by-step explanation:

To find the solution to the problem (2x + 1)(5x + 5), we can start by using the distributive property. This property states that when we multiply two expressions, we need to multiply each term in the first expression by each term in the second expression. Let's go step-by-step:

1. First, we multiply the first term, 2x, by each term in the second expression: 2x * 5x = 10x^2 and 2x * 5 = 10x.
2. Next, we multiply the second term, 1, by each term in the second expression: 1 * 5x = 5x and 1 * 5 = 5.

Now we have two sets of terms: 10x^2 + 10x and 5x + 5. We can combine these terms by adding them together:

10x^2 + 10x + 5x + 5.

Simplifying further, we can add the like terms: 10x^2 + 15x + 5.

So, the solution to (2x + 1)(5x + 5) is 10x^2 + 15x + 5.