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Say i have a complex number $5+5i$, is it then possible to factor out a five, so that:

$5+5i$ becomes $5(1+i)$

Arithmetically this would work, but I don't know if I mix thr real and imaginary part or something when I do so. So is this possible?

Thanks in advance!

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2 Answers 2

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Yes. This is called the distributive property which can be done in any ring.

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  • $\begingroup$ Yes, thank you. This is the answer i was looking for. Of course it will work arithmetically, but i didn't know if was legal. $\endgroup$ Commented Jan 29, 2019 at 6:28
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This would definitely work. By distributivity: $$ 5(1+i)=5\cdot 1+5\cdot i=5+5i $$

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