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## Answers

**Substitute the values of m and n to the expression:**

*Option 1:***(m + n) (m - n)**

**(5 + 50) (5 - 50) = (55) (-45) = - 2475**

*Option 2:***Sum and Difference of two binomials**

**(m + n) (m - n) = m² - n²**

**(5)² - (50)² = (25) - (2,500) = - 2,475**

**100 > -2,475**

**100 is greater than -2,475 because 100 is a positive integer, while - 2,475 is a negative integer. Any positive integer is greater than a negative integer.**

**In the special products "the sum and difference of two binomials", its product is always less than 100 or less than 0 (in general) if the first term of the binomial is less than the second term. Naturally, the difference of the same binomial yields a negative integer. Multiply a negative integer by a positive integer, the result is negative. Any negative integer is less than 0, 1, 2, 3, ... (positive integers)**