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avatar+279 

Factor the expression given below. Write each factor as a polynomial in descending order. Enter exponetns using the caret ( ^ ).

 

125x^3 + 512y^3

 

I know the 125 is writen as

 

(5x)^3

 

beyond that i personally dont know

 Oct 2, 2019
 #1
avatar+104962 
+3

125x^3 + 512y^3

 

Cube root of first term  = 5x     Cube root of second term  = 8x       

 

So we have a sum of cubes which can be factored as :

 

(5x + 8y)  [ (5x)^2  - 5x*8y  + (8y)^2 ]  =

 

(5x + 8y ) ( 25x^2  - 40xy  + 64y^2)

 

cool cool cool

 Oct 2, 2019
 #2
avatar+279 
+1

Thank you, Sir CPhill

 

cool​ ​​​​cool cool

CreatorRozen  Oct 2, 2019
 #3
avatar+104962 
0

No prob!!!!

 

 

cool cool cool

CPhill  Oct 2, 2019

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