Inactive Tutor answered 03/30/20
(3k+4)(9k+5) can be found using the FOIL method.
F (first) multiply 3k and 9k together. 3k*9k=27k2
O (outsides) multiply 3k and 5 together. 3k*5=15k
I (insides) multiply 4 and 9k together. 4*9k=36k
L (last) multiply 4 and 5 together. 4*5=20
So now we have 27k2 + 15k + 36k + 20.
Combine like terms. In this case the only like terms are 15k and 36k.
15k + 36k = 51k
The answer is 27k2 +51k+20.