Factor
4s^2+12sg+9g^2

Question

Factor
4s^2+12sg+9g^2

anonymous · Answer

I ended up getting (3g+2s)(3g+2s) I thought that would be considered undefined

jim_thompson5910 · Answer

4s^2+12sg+9g^2


4s^2+6sg+6sg+9g^2


(4s^2+6sg)+(6sg+9g^2)


2s(2s+3g)+(6sg+9g^2)


2s(2s+3g)+3g(2s+3g)


(2s+3g)(2s+3g)


So 4s^2+12sg+9g^2 completely factors to (2s+3g)(2s+3g)

jim_thompson5910 · Answer

So you have the right answer

anonymous · Answer

lol but my letters are so in the wrong places

jim_thompson5910 · Answer

That doesn't matter, you can add in any order. This means 2s+3g is the same as 3g+2s

anonymous · Answer

ok...thanks...lol

jim_thompson5910 · Answer

And I'm not sure of what you mean when you said "I thought that would be considered undefined"

anonymous · Answer

because it seems like since they both came out with the same factors I thought it woulod cancel out

jim_thompson5910 · Answer

Ah i gotcha, well if you were dividing, then yes the factors would cancel (to leave you with just 1). You only have something undefined when you're dividing by zero.

jim_thompson5910 · Answer

But you don't have to worry about undefined terms because you're not doing any division at all.

anonymous · Answer

oh ok....that was confusing me lie hell...thanks for the heads up

jim_thompson5910 · Answer

you're welcome