How to add Exponents

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• April 28th 2013, 01:27 PM
blackjack21
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
• April 28th 2013, 01:32 PM
Plato
Re: How to add Exponents
Quote:

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 $x^2+y^2$, it is a prime expression, irreducible.

We can factor the difference $x^2-y^2=(x+y)(x-y)$ but not the sum.
• April 28th 2013, 02:38 PM
Soroban
Re: How to add Exponents
Hello, blackjack21!

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

Well, you could write it as: . $(xy)^2$ .. . . but that's all.
• May 6th 2013, 02:36 PM
blackjack21
Re: How to add Exponents
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..
• May 6th 2013, 03:05 PM
Plato
Re: How to add Exponents
Quote:

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 $-1+4=3$ then there is no additional rules to apply.