What is the GCF in this expression?
3y²(y - 2) + 5(y - 2)

- anonymous

What is the GCF in this expression?
3y²(y - 2) + 5(y - 2)

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- chestercat

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- skullpatrol

Any ideas?

- skullpatrol

@Avon ???

- anonymous

you can easily see which is G.C.F

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## More answers

- skullpatrol

What happens if you multiply it out?

- 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

$$\huge \text{No effort = No answer}$$

- skullpatrol

@Avon Well, are you ready to learn?

- anonymous

yea @skullpatrol

- skullpatrol

What happens if you multiply it out?

- anonymous

@skullpatrol the site is acting crazy thts y i could answer, but 3y^3+5y^2 is tht right

- skullpatrol

Yes, there is no common factor if you multiply it out.

- skullpatrol

@surjithayer please don't give away the answer

- 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

$$\huge 3y²(y - 2) + 5(y - 2)$$

- anonymous

3y+5y-2

- skullpatrol

What is that?

- anonymous

or is it 15=3*5

- skullpatrol

Do you know what a "common factor" is"

- anonymous

3+5=8

- skullpatrol

What is a "factor"?

- anonymous

3y²(y - 2) + 5(y - 2)=
3y^3-6y^2+5y-10=
1(3y^3-6y^2) + 1(5y-10)

- anonymous

im not good at this idk seriously

- skullpatrol

factor: When two or more numbers are multiplied each of the numbers is
a factor of the product.

- anonymous

ok i know that much @skullpatrol but what your not understanding is that im confused

- skullpatrol

You need to recall the distributive property: $$\huge ba+ca=(b+c)a$$ Remember?

- skullpatrol

$$\huge 3y²(y - 2) + 5(y - 2)=?$$

- skullpatrol

|dw:1377804509670:dw|

- anonymous

3y^2+5= y-2+y-2=y^4
@skullpatrol

- skullpatrol

What does the distributive property say?

- anonymous

3y^2+5y^4 @skullpatrol

- skullpatrol

|dw:1377805221823:dw|

- anonymous

ok @skullpatrol does that means it cancels out the y-2

- skullpatrol

It doesn't cancel out, you factor it out.

- skullpatrol

That makes it a common factor, right?

- skullpatrol

...and since it's the only factor that makes it the greatest common factor or GCF.

- anonymous

is it 1@skullpatrol

- 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

y-2 are the common factors @jim_thompson5910

- skullpatrol

@Avon 1 is a factor of all numbers.

- jim_thompson5910

y-2 is common to both
anything else?

- skullpatrol

Here 1 is not the greatest common factor.

- anonymous

is it 2 @skullpatrol

- skullpatrol

why?

- anonymous

@skullpatrol BECAUSE Y-2

- anonymous

Y=2

- anonymous

do you want me to explain or do you just need answer?

- anonymous

?????????????????????????

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