SOLUTION: (a+b)^2= a^2+b^2 Explain in the following in your own words. Give numerical example to illustrate. Please help. Thanks!

Question 179515This question is from textbook Elementary and Intermediate Algebra Concepts and Applications
: (a+b)^2= a^2+b^2
Explain in the following in your own words. Give numerical example to illustrate. Please help. Thanks! This question is from textbook Elementary and Intermediate Algebra Concepts and Applications

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
is NOT true in general, here's why:

Start with the given equation.

FOIL

Subtract from both sides. Subtract from both sides. Notice how the and the terms cancel out.

Simplify

or Set each individual factor equal to zero

So is only true if or (or both are zero). However, for any other values of "a" and "b", is NOT true.

Here's an example to support the answer:

Start with the given equation.

Plug in and (just pick 2 random values. Make sure that both are nonzero values)

Add

Square 2 to get 4

Square 3 to get 9

Square 5 to get 25

Add

Since , this means that we've just shown an example where is not true. So is not true in general
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