anonymous
  • anonymous
What is the GCF in this expression? 3y²(y - 2) + 5(y - 2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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skullpatrol
  • skullpatrol
Any ideas?
skullpatrol
  • skullpatrol
@Avon ???
anonymous
  • anonymous
you can easily see which is G.C.F

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More answers

skullpatrol
  • skullpatrol
What happens if you multiply it out?
skullpatrol
  • skullpatrol
OpenStudy values the Learning process - not the ‘Give you an answer’ process Don’t post only answers - guide the asker to a solution.
skullpatrol
  • skullpatrol
$$\huge \text{No effort = No answer}$$
skullpatrol
  • skullpatrol
@Avon Well, are you ready to learn?
anonymous
  • anonymous
yea @skullpatrol
skullpatrol
  • skullpatrol
What happens if you multiply it out?
anonymous
  • anonymous
@skullpatrol the site is acting crazy thts y i could answer, but 3y^3+5y^2 is tht right
skullpatrol
  • skullpatrol
Yes, there is no common factor if you multiply it out.
skullpatrol
  • skullpatrol
@surjithayer please don't give away the answer
anonymous
  • anonymous
@skullpatrol so is 3 and 5 the GCF 3*1 AND 5*1 or is it 3y^2 =5 and that may equal 8y^2 do the y-2 cancel out
skullpatrol
  • skullpatrol
$$\huge 3y²(y - 2) + 5(y - 2)$$
anonymous
  • anonymous
3y+5y-2
skullpatrol
  • skullpatrol
What is that?
anonymous
  • anonymous
or is it 15=3*5
skullpatrol
  • skullpatrol
Do you know what a "common factor" is"
anonymous
  • anonymous
3+5=8
skullpatrol
  • skullpatrol
What is a "factor"?
anonymous
  • anonymous
3y²(y - 2) + 5(y - 2)= 3y^3-6y^2+5y-10= 1(3y^3-6y^2) + 1(5y-10)
anonymous
  • anonymous
im not good at this idk seriously
skullpatrol
  • skullpatrol
factor: When two or more numbers are multiplied each of the numbers is a factor of the product.
anonymous
  • anonymous
ok i know that much @skullpatrol but what your not understanding is that im confused
skullpatrol
  • skullpatrol
You need to recall the distributive property: $$\huge ba+ca=(b+c)a$$ Remember?
skullpatrol
  • skullpatrol
$$\huge 3y²(y - 2) + 5(y - 2)=?$$
skullpatrol
  • skullpatrol
|dw:1377804509670:dw|
anonymous
  • anonymous
3y^2+5= y-2+y-2=y^4 @skullpatrol
skullpatrol
  • skullpatrol
What does the distributive property say?
anonymous
  • anonymous
3y^2+5y^4 @skullpatrol
skullpatrol
  • skullpatrol
|dw:1377805221823:dw|
anonymous
  • anonymous
ok @skullpatrol does that means it cancels out the y-2
skullpatrol
  • skullpatrol
It doesn't cancel out, you factor it out.
skullpatrol
  • skullpatrol
That makes it a common factor, right?
skullpatrol
  • skullpatrol
...and since it's the only factor that makes it the greatest common factor or GCF.
anonymous
  • anonymous
is it 1@skullpatrol
jim_thompson5910
  • jim_thompson5910
In the expression 3y²(y - 2), the factors are: 3 y y y-2 I listed y twice because y*y = y^2 ------------------------------------------------------- In the expression 5(y - 2), the factors are 5 y-2 ------------------------------------------------------- What are the common factors that are in BOTH expressions?
anonymous
  • anonymous
y-2 are the common factors @jim_thompson5910
skullpatrol
  • skullpatrol
@Avon 1 is a factor of all numbers.
jim_thompson5910
  • jim_thompson5910
y-2 is common to both anything else?
skullpatrol
  • skullpatrol
Here 1 is not the greatest common factor.
anonymous
  • anonymous
is it 2 @skullpatrol
skullpatrol
  • skullpatrol
why?
anonymous
  • anonymous
@skullpatrol BECAUSE Y-2
anonymous
  • anonymous
Y=2
anonymous
  • anonymous
do you want me to explain or do you just need answer?
anonymous
  • anonymous
?????????????????????????

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