anonymous
  • anonymous
Factor completely. 3x3 – 48x A. 3x(x – 4)(x – 4) B. 3(x + 4)(x – 4) C. 3x(x – 4)(x + 4) D. 3x(x – 16) @jagr2713
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
jagr2713
  • jagr2713
hat is the largest number that divides evenly into 3x3 and −48x?

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jagr2713
  • jagr2713
what*
anonymous
  • anonymous
3?
rainbow_rocks03
  • rainbow_rocks03
plz help
jagr2713
  • jagr2713
Good so What is the highest degree of x that divides evenly into 3x3 and −48x?
anonymous
  • anonymous
help with what?? @rainbow_rocks03
anonymous
  • anonymous
3?
anonymous
  • anonymous
\[3x^3-48x=3x\left( x^2-16 \right)=?\] \[a^2-b^2=\left( a+b \right)\left( a-b \right)\]
jagr2713
  • jagr2713
nope degree not number @Nin
rainbow_rocks03
  • rainbow_rocks03
help with question
anonymous
  • anonymous
48?
rainbow_rocks03
  • rainbow_rocks03
need to understand how to get my answer
jagr2713
  • jagr2713
@rainbow_rocks03 please post your question in the ask a question bo
rainbow_rocks03
  • rainbow_rocks03
I did
jagr2713
  • jagr2713
nope its X b.c thats the degree so now we multiplying the results above, the GCF is 3x
anonymous
  • anonymous
yes please, we are working on something!! @rainbow_rocks03
anonymous
  • anonymous
anonymous
  • anonymous
jagr2713
  • jagr2713
So now we factor out the GCF so put the GCF as the first term and then in teh parentheses divide each term by the GCF \[3x (\frac{ 3x2 }{ 3x }+\frac{ -48x }{ 3x }\]
jagr2713
  • jagr2713
So now we Simplify each term in parentheses and get?
anonymous
  • anonymous
so 2+ 16x?
jagr2713
  • jagr2713
nope we simplify each term in parentheses and get 3x(x2-16)
anonymous
  • anonymous
jagr2713
  • jagr2713
So this ik you remember so we have x2−16 fits the form a2−b2 Rewrite it where a=x and b=4 3x(x2−42)
jagr2713
  • jagr2713
So now use the difference of squares \[a ^{2}-b ^{2}=(a+b)(a-b)\]
jagr2713
  • jagr2713
Plug it in :D
anonymous
  • anonymous
(x+4)(x-4)
anonymous
  • anonymous
jagr2713
  • jagr2713
dont forget the 3x so the answer is?
jagr2713
  • jagr2713
So we get? igtg soon
anonymous
  • anonymous
B?
anonymous
  • anonymous
jagr2713
  • jagr2713
Nope i said 3x
anonymous
  • anonymous
jagr2713
  • jagr2713
Correct :D
anonymous
  • anonymous
i didnt see that it was just 3
jagr2713
  • jagr2713
Well time to go :D ~Have a great day and great job :D
anonymous
  • anonymous
thank you b!

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