How do you simplify #i+6i#?

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Answer 1 · 2018-06-22T16:36:42

#i+6i=7i#

In this case, #i# can be treated like a variable with a real value, so the rule #ax+bx=(a+b)x# applies. This gives us:

#i+6y=1i+6i=7i#

Answer 2 · 2018-06-22T17:08:26

#7i#

Even though it is not a variable, we can treat #i# like one, and combine these. In algebra, if we had

#x+6x#, we would say this is #7x#, because we saw we had like terms. Instead of this, we have

#i+6i#

We can combine these to get #7i# because we see they both have an #i#. If you have like terms, we can always condense them into one term.

Hope this helps!