Question

How to simplify (2a+14)(1/3a+21)?

Answer 1

OMGIrene, is that 1/ (3a) ?

Answer 2

That is 1 over 3a + 21

Answer 3

factor :)

Answer 4

(2a+14) / (3a+21)
-> [2 (a+7)] / [3 (a+7)]
-> 2/3
That is the solution.
*

Answer 5

I was correct! Haha. Thank you everyone!

Answer 6

(2a+14) / (3a+21)
= [2 (a+7)] / [3 (a+7)]
= 2/3, except a=-7

Answer 7

Yes that s true. Except a=-7

Answer 8

no this is not a situation of an asymptote at a=-7
the limit as a->-7 is 2/3
Notice at a=-7 the function is 0/0 which is indeterminate not undefined
L'Hopitals rule says differentiate leaving 2/3 as limit
therefore function equals 2/3 for all values of a

because (a+7) cancels out you generally dont need to worry about the (a+7) in the denominator