SOLUTION: Is (a+b)^3 ever equal to a^3+b^3? Explain.

Algebra.Com
Question 103883This question is from textbook Beginning Algebra
: Is (a+b)^3 ever equal to a^3+b^3? Explain. This question is from textbook Beginning Algebra

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let's work it out





Now let's substitute.
Your original equation.
Substitute for the expanded cubic amd remove like terms from both sides.
Simplify.
Divide both sides by 3ab
Distribute.
Simplify
So whenever a+b=0, then you know that

For example,
and
and