A binomial factor: w(w + 2)^2 + 8(w + 2)^2

[cgarcia71]

I am stumped on the following problem. Ineed to factor out the GCF.

w(w+2)^2 + 8(w+2)^2

I can see that the GCF is w+2

normally I know that I would solve like this

(w+2)w+(w+2)8 = (w+2)(w+8)

The exponents are throwing me off though. I can't seem to find an example that helps me understand that. Can someone help?

Thanks in advance!

 

[tkhunny]

Sometimes, you just have to see it.

(w+8)*(w+2)²

 

[Mrspi]

I am stumped on the following problem. Ineed to factor out the GCF.

w(w+2)^2 + 8(w+2)^2

I can see that the GCF is w+2

normally I know that I would solve like this

(w+2)w+(w+2)8 = (w+2)(w+8)

The exponents are throwing me off though. I can't seem to find an example that helps me understand that. Can someone help?

Thanks in advance!

If you had been asked to factor
w k²+ 8 k²

would you have "seen" that the factorization is
k² (w + 8)

Now, is your problem all that much different than this?