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avatar+153 

Factor the following:
                \[ -8x^2y^4z^3 + 12x^4yz^3.\]

 Nov 18, 2020
 #1
avatar+114221 
+2

-8x^2y^4z^3  + 12x^4 yz^3    =

 

-4x^2 y z^3    ( 2y^3 - 3x^2)

 

Do you see how I did that, T4H???

 

 

 

cool cool cool

 Nov 18, 2020
 #2
avatar+114221 
+2

OK

 

Take out the lowest common factor beteen  - 8  and  12.....to make matters simple....I'll use 4 in this example

 

Take out  the lowest common factoe  between x^2 and x^4  = x^2

 

Take our the lowest common factor  between y^4 and y  =  y

 

Take out the lowest common factor between z^3 and z^3  = z^3

 

On the outside of the parentheses we will just write  these in order   =    4x^2yz^3

 

To find out what goes in the parentheses  we just  fivide each  term in the original problem by 4x^2y z^3

 

So   -8x^2y^4z^3                            And    12x^4yz^3    

      ___________  =   -2y^3                      ________    =    3x^2                                          

        4x^2yz^3                                            4x^2 y z^3

 

Putting this all together  we get

 

4x^2yz^3  ( -2y^3 + 3x^2)

 

 

cool cool cool

 Nov 18, 2020
 #3
avatar+153 
+1

Oh ok

Thanks4helping  Nov 18, 2020

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