SOLUTION: complete the conjecture based on the pattern you observe in the specific case. Conjecture: For any 2 numbers a and b, the product of (a+b) and (a-b) is always equal to ________

Algebra ->  Formulas -> SOLUTION: complete the conjecture based on the pattern you observe in the specific case. Conjecture: For any 2 numbers a and b, the product of (a+b) and (a-b) is always equal to ________       Log On


   



Question 471851: complete the conjecture based on the pattern you observe in the specific case.
Conjecture: For any 2 numbers a and b, the product of (a+b) and (a-b) is always equal to ________ ?
(2+1)(2-1) = 3= 2^2 - 1^2
(3+2)(3-2) = 5= 3^2 - 2^2
(4+2)(4-2) = 12= 4^2 - 2^2

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
a^2 - b^2. We do not need to call it a conjecture anymore since it can easily be proven.