B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.
Now, notice that
That is, we can write the sum more compactly as
The series is geometric with common ratio
, so the series converges (and thereby has a sum), so the answer is D.
Answer:
See below
Step-by-step explanation:
a. here you are to multiply the two functions together:
b. here you are to subtract g from f:
c. here you are to compose g into f. In other words, pick up the whole g function and plug it into f wherever you see an x:
d. here you are compose f into g. In other words, pick up the whole f function and plug it into g wherever you see an x:
You now have to FOIL out the (3x-1) like so:
![2[(3x-1)(3x-1)]](https://tex.z-dn.net/?f=2%5B%283x-1%29%283x-1%29%5D)
which gives you
Distribute in the 2 and you'll end up with the answer:
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Answer:
2a^2b(5a-3b)
If not then the other way is
5a-3b
Step-by-step explanation:
The GCF of 10a^3b and -6a^2b^2 is 2a^2b
So divide by that you will get
2a^2b(5a-3b)
