how do i factor a^2-b^2-4b-4?

- anonymous

how do i factor a^2-b^2-4b-4?

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- katieb

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- steve816

I don't think it's factorable...

- steve816

\[a^2-b^2-4b-4\]

- anonymous

Oh...I got stuck at (a+b)(a-b)-4(b+1).
Thanks! For some reason, if you insert the equation into http://www.wolframalpha.com/widgets/view.jsp?id=e7040eab64a24724666a4991fb077bd2, it can be factorable

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## More answers

- anonymous

^^wolfram factoring calculator http://www.wolframalpha.com/widgets/view.jsp?id=e7040eab64a24724666a4991fb077bd2

- Directrix

a^2 - b^2 -4b - 4 =
a^2 - ( b^2 +4b + 4)

- Directrix

This expression is the difference of the perfect square a^2 and the perfect square trinomial ( b^2 +4b + 4)

- anonymous

Yes, that was what the answer was suppose to be. I always end up grouping the wrong polynomials. Thanks.

- Directrix

a^2 - ( b^2 + 4b + 4) =
a^2 - [(b + 2)*(b+2)] =
a^2 - ( b + 2)^2 =

- Directrix

a^2 - ( b + 2)^2 = ? @one234
(I grouped the wrong ones together on my first try, too. :) )

- anonymous

(a+b+2)(a-b+2)

- Directrix

a^2 - ( b + 2)^2 =
[ a + (b + 2 ) ] * [ a - ( b + 2 ) ]

- Directrix

I think you have a sign error in distributing the negative here:
[ a - ( b + 2 ) ]

- Directrix

- ( b + 2 )
The negative applies to both the b and the 2.
So, what would be the correct answer? @one2345
(Or, did I mess up?)

- anonymous

(a-b-2) I didn't realize it was necessary to use the parentheses. :P

- Directrix

[ a + (b + 2 ) ] * [ a - ( b + 2 ) ] =
(a + b + 2) * (a - b - 2)

- anonymous

Thank you again.

- anonymous

would you mind showing me how to do one more factoring problem?

- Directrix

Glad to help.
Try the problem I attached. Post what you get, okay?

##### 1 Attachment

- anonymous

|dw:1443592919361:dw|

- anonymous

Could you check my work for this problem? I did something wrong...

- anonymous

|dw:1443593102956:dw|

- anonymous

|dw:1443593233945:dw|

- Directrix

This looks okay - now simplify within parentheses.

##### 1 Attachment

- anonymous

|dw:1443593838420:dw|

- anonymous

|dw:1443593990406:dw|

- Directrix

|dw:1443594027672:dw|

- Directrix

@one2345 Good work!

- anonymous

I was doing this on paper and I just realized my error and corrected it online. Anyway, thank you so much for helping me. I really appreciate it.

- Directrix

You are welcome. If you want to practice tomorrow, I'll look for you.

- anonymous

That's fine. :) I'm studying today for a factoring quiz i have tomorrow.
I have to leave now, good night!

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