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## anonymous one year ago factor completely: 36a^2 - 24a + 4

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1. jagr2713

Hey @lauraoar First we need to find the GCF. What is the largest number that divides evenly into 36a2, −24a, and 4?

2. anonymous

4?

3. jagr2713

Correct What is the highest degree of a that divides evenly into 36a2, −24a, and 4?

4. anonymous

2?

5. jagr2713

Nope try again

6. jagr2713

Is A in every term?

7. anonymous

nope

8. jagr2713

So there is none :D So the GCF=?

9. anonymous

4?

10. anonymous

is the answer 4(3a-1)^2

11. jagr2713

Good :D So now we have the GCF and now we have to factor out the GCF. Put the GCF as the first term Then, in parentheses, divide each term by the GCF so we have $4(\frac{ 36a ^{2} }{ 4 }+\frac{ -24a }{ 4 }+\frac{ 4 }{ 4 })$

12. jagr2713

Now we simplify each term in the parentheses. What do we get @lauraoar

13. anonymous

4(9a+-6a+1)?

14. jagr2713

i see you have +- the -24 is negative and we divided so it goes negative. And dont forget the a2 4(9a2-6a+1)

15. jagr2713

a2−2ab+b2 Rewrite it where a=3a and b=1 plug it in

16. anonymous

you could of used the quadratic formula

17. jagr2713

what do we get @lauraoar

18. jagr2713

@lauraoar did u get the answer or?

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