Not understanding factoring this problem

[stefannsgirl]

I am having trouble understanding a step in the following problem.
2(2+2k) + (1+k)

The steps in the text are as follows:

2(2+k) + (1+k) = (2*2*1)(1+k) = 5(1+k)

I do not understand how you get (2*2*1) from 2(2+2k)

Thank you for any help in advance.
Jacki

[maggiemagnet]

2(2+2k) + (1+k)

The steps in the text are as follows:

2(2+2k) + (1+k) = (2*2*1)(1+k) = 5(1+k) . .<== Note correction!!

I do not understand how you get (2*2*1) from 2(2+2k)

Try writing out the steps explicitly:

2(2 + 2k) = 2[2(1 + k)] = 2*2(1 + k)

2(2 + 2k) + (1 + k) = 2*2(1 + k) + (1 + k)

1 + k = 1(1 + k)

2*2(1 + k) + (1 + k) = 2*2*(1 + k) + 1*(1 + k) = (1 + k)[? ? ?]

Fill in that blank and then simplify, and you should have your answer. For further information on factoring, try here.