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Odd and Even: Difference of Squares (Posted on 2003-04-16) Difficulty: 3 of 5
Any product of two evens or two odds (sticking just to positives for the purpose of this problem) can be expressed as a difference of two perfect squares. 11*17=187=196-9 is an example.

A: Prove this idea.

B: Come up with a formula that gives the two perfect squares. Call the larger one a and the smaller one b.

See The Solution Submitted by Gamer    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
I think I got it. | Comment 2 of 10 |
The solution is:

(sqrt a + sqrt b) * (sqrt a - sqrt b)= x = a - b

Where:
a is the largest of the squares,
b is the smallest of the squares, and
x is the product/difference


  Posted by jennifer on 2003-04-16 08:07:59
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