Thread: How to add Exponents

Hi all
my question is:
How to add Exponents with Different Base and Same Exponent
An Ex:

X² + Y²

Thanks in advance

Originally Posted by blackjack21

Hi all
my question is:
How to add Exponents with Different Base and Same Exponent
An Ex:

X² + Y²

There is nothing that can be done with $\displaystyle x^2+y^2$, it is a prime expression, irreducible.

We can factor the difference $\displaystyle x^2-y^2=(x+y)(x-y)$ but not the sum.

Hello, blackjack21!

Even if you had $\displaystyle x^2y^2$, there's nothing to be done.

Well, you could write it as: .$\displaystyle (xy)^2$ .. . . but that's all.

thanks to all math family for answers and me again with another question about this subject

-(a²)+(2a)² that gives me result of 3a²
what is the rule of this addition im confused with addition operation about exponents with factors

Thanks in advance and best regards..

Originally Posted by blackjack21

-(a²)+(2a)² that gives me result of 3a²
what is the rule of this addition im confused with addition operation about exponents with factors

If you understand that $\displaystyle -1+4=3$ then there is no additional rules to apply.