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)
