Properties of real numbers equation

label Algebra
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2ab = a2 + b2  Explain why this is equation isnt correct. 

Apr 23rd, 2015

Here 2a x b  means 2 multiplied by a and this product multiplied by b.

However, a^2 means a multiplied by a and not a Plus a.  Similarly b^2 means b multiplied by b and not b+b.

Therefore 2 x a x b is not equal to a^2 + b^2.

For example take a = 3 and b =5

So 2x a x b becomes .2 x 3 x5 = 30. But a^2 +b^2 = 3^2 + 5^2 = 9 + 25 =33

And you see that 30 is not equal to 33. 

So this equation 2a.b = a^2 +b^2 is not correct.

Apr 23rd, 2015

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