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Mathematics 16 Online
UkuleleGirl:

More factoring.

UkuleleGirl:

Chloeisdum:

you need the answer?

UkuleleGirl:

Yes......

Chloeisdum:

Ok let me solve it

UkuleleGirl:

I need to learn how to do this... Ik what gcf is, but I can't find any numbers to divide 11 with

UkuleleGirl:

I see my mistake now....its 11.

UkuleleGirl:

the gcf is 11

Chloeisdum:

The answer is : 11yz^3 ( z^4-3x^4y^3)

UkuleleGirl:

how did you get that.?

Chloeisdum:

you need to factor out the commen term

UkuleleGirl:

Yes.. but...

Chloeisdum:

11yz^7-33x^4y^4z^3

UkuleleGirl:

I'm always confused on the stupid exponets

YRJ8498:

@ukulelegirl wrote:
I'm always confused on the stupid exponets
the exponents are confusion NGL

UkuleleGirl:

Yerp

Chloeisdum:

you add all the exponents together after you factor out the commen terms

Chloeisdum:

if that makes sense

UkuleleGirl:

yes but...its confusing to the point where there are so many different ones.

UkuleleGirl:

Im' confused on the last one..

Florisalreadytaken:

still looking for help?

UkuleleGirl:

yes

UkuleleGirl:

bcs im looking at the last y.

Chloeisdum:

@ukulelegirl wrote:
Im' confused on the last one..
honestly idek anymore u making me confusd

UkuleleGirl:

you said y^3 but there are 4 ys.

UkuleleGirl:

SO did you put the other y at the beginning?

UkuleleGirl:

This is why math isn't my strongest subject...

Florisalreadytaken:

Right, I'm going to follow the logic of the person above. okay so we have \( \ \ 11yz^7-33x^4y^4z^3\) you see we have got two terms \(11yz^7\) & \(33x^4y^4z^3 \) which include two real numbers in \(11\) and \(33\) which can both be factored \(=11yz^7-11\times 3x^4y^4z^3\) therefore we get \(11\left(yz^7-3x^4y^4z^3\right)\) okay so insidet he brackets for the \(y\) part we know that \( a^{b+c}=a^{b} \times a^{c} \) so \(y^4=y\times y^3\) so we get \( y\left(z^7-3x^4y^3z^3\right) \rightarrow 11\times y\left(z^7-3x^4y^3z^3\right) \) Can you try and work out the \(z\)'s ?

UkuleleGirl:

I understand all of that part. The z's would be 3 and 7, You took 3 from 7. which gave you 4

Florisalreadytaken:

right! then what's wrong?

UkuleleGirl:

The y.

Florisalreadytaken:

well both terms have got only ONE \(y\) in common \( 11\left(\color{steelblue}{y^1}z^7-3x^4\color{steelblue}{y^4}z^3\right) \) i explained above

UkuleleGirl:

well. Then ig it makes sense now.

UkuleleGirl:

Thanks for helping me.

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