Given that m=5 and n=50, which is greater, (m+n)(m-n) or 100? explain.

2
by KharlOnasa

2015-11-16T20:37:50+08:00
(5+50)(5-50)=25+250-250-2500=-2475, 100 is greater since -2475 is negative in value while 100 is positive which means it is greater since positive integers r always greater than negative
I'm not sure of using distributive property though it maybe (5+50)(5-50)=(55)(-45)=-2475 too the explanatiin is the same maybe u can choose what process u want
ate it is all about products of sums and differences of two terms
• Brainly User
2015-11-16T23:28:31+08:00
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)

By the way, Sum and Difference of binomial are factors of special product "Difference of Squares of Two Terms" or "Difference of Two Squares"