Factor completely: 36x^4 - 4x ^2

@texaschic101 can you help me again?

largest number that goes into 4 and 36 ?

and what is the smallest x ?

4 and the smallest x is x^2

so lets factor that out....can you try it ?

how many times does 4 go into 36 and what do you get when you subtract x^4 - x^2

4x^2(36x^2 - 4) is that right?

oh wait it is just 4x^2(36x^2) right?

not 36x^2.....how many times does 4 go into 36 ? And how many times does 4x^2 go into 4x^2 ?

oh yeah 9x^2 i did it in my head but forgot to write it down lol, and 4x^2 goes into 4x^2 1 time

so it is 4x^2(9x^2 - 1) ?

let me show you... 36x^4 - 4x^2 we can factor out 4x^2 4x^2(9x^2 - 1) 4x^2 goes into 36x^4 giving you 9x^2 and 4x^2 goes into 4x^2 one time. you got it :)

and you can check your answers by distributing your 4x^2 trough the parenthesis and you will get the original problem :)

YAY lol and that cannot be factored anymore right? So that is the final answer?

no...that is not the final answer 4x^2(3x - 1)(3x + 1)

sorry...I didn't catch that at first

its okay i totally forgot 9 is divisible by 3 lol thank you again for the help! I have more questions too

Go to this website and click factor and it will give you the answer, however it will not tell you how to do it unless you get a membership http://www.quickmath.com/webMathematica3/quickmath/algebra/factor/basic.jsp

Awesome thank you!!

no problem.....you really should learn how to factor rather then just get the answer, so I would use that website just to check your answers. Unless you want to buy the membership

yeah i know what you mean. When someone walks me through the steps thats how i learn the most!!

I understand...that is so true

Can you help me also with: Factor Completely: 16x^2 - 24x + 9?

@texaschic101

(4x - 3)(4x - 3) or (4x - 3)^2

whoa did you solve it? is that the answer?

@texaschic101

yes...that is the answer....I would put (4x - 3)^2

me too haha thank you I also have another one i tagged you in that i don't get at all and would need to be walked through it. Did you see it?

I wrote it again incase you didn't see it!!

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