Posted by **daz** on Monday, September 27, 2010 at 3:13pm.

Take the numbers 4 and 7.

If we square them we get 16 and 49, which added together becomes 65.

If we add 4 and 7 together first and then square we get 121.

The difference is 56. PROVE that there is a connection between the product of 4 and 7 and 56 FOR ANY PAIR OF NUMBERS YOU SELECT.

- maths proofs -
**MathMate**, Monday, September 27, 2010 at 3:48pm
Take the numbers a and b.

If we square them we get a² and b², which added together becomes a²+b².

If we add a and b together first and then square we get (a+b)².

The difference between (a+b)² and a²+b² is....

Expand and subtract.

- maths proofs -
**daz**, Monday, September 27, 2010 at 3:54pm
is it

a²+b²+2ab-a²+b²

2b²+2ab

if not please help

thanks

- maths proofs -
**daz**, Monday, September 27, 2010 at 3:59pm
or is it

a²+b²+2ab-a²-b²

2ab

- maths proofs -
**MathMate**, Monday, September 27, 2010 at 4:14pm
That's correct! (the last version).

- maths proofs -
**daz**, Monday, September 27, 2010 at 4:26pm
thanks so much

- maths proofs -
**MathMate**, Monday, September 27, 2010 at 5:24pm
You're welcome!

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