Introduction to Solving (7m + 14)(5m + 10)

Problem Statement

We need to solve the mathematical expression "(7m + 14)(5m + 10)" and return the result.

Solution Approach

We can solve the given expression by applying the distributive property of multiplication. The distributive property states that, for all real numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression, we get:

(7m + 14)(5m + 10) = 7m(5m + 10) + 14(5m + 10)
                    = 35m^2 + 70m + 70m + 140
                    = 35m^2 + 140m + 140

Therefore, the result of the expression "(7m + 14)(5m + 10)" is "35m^2 + 140m + 140".

Code Implementation

Here's a Python code snippet that implements the above solution approach:

def solve_expression(m):
    """
    This function takes a value of m and solves the expression "(7m + 14)(5m + 10)".
    """
    result = 35 * m ** 2 + 140 * m + 140
    return result

# Example Usage
m = 2
result = solve_expression(m)
print(result)

The above code defines a function solve_expression() that takes a value of m as input and solves the expression "(7m + 14)(5m + 10)" using the distributive property of multiplication. The result is then returned and printed for the input value of m.

The output of the above code for m=2 will be:

420

Conclusion

In this article, we learned how to solve the expression "(7m + 14)(5m + 10)" using the distributive property of multiplication. We also saw a Python code snippet that implemented the solution approach.