SOLUTION: <pre><b>Factor 12x<sup>4</sup>y<sup>3</sup> + 16x<sup>3</sup>y<sup>3</sup> - 20x<sup>3</sup>y<sup>4</sup>

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: <pre><b>Factor 12x<sup>4</sup>y<sup>3</sup> + 16x<sup>3</sup>y<sup>3</sup> - 20x<sup>3</sup>y<sup>4</sup>      Log On


   

Question 41594: 
Factor

12x4y3 + 16x3y3 - 20x3y4 

Answer by AnlytcPhil(1807) About Me  (Show Source): 

You can put this solution on YOUR website!
 
Factor

12x4y3 + 16x3y3 - 20x3y4

4 is the largest integer that will divide into 
all three terms.

So the GCF so far is 4

The letter x appears in all three terms, 
the smallest power that appears is x3

So the GCF so far is 4x3

The letter y appears in all three terms, 
the smallest power that appears is y3

So the GCF is 4x3y3

So factor out 4x3y3

12x4y3 + 16x3y3 - 20x3y4

  4x3y3(3x + 4 - 5y)

Edwin
AnlytcPhil@aol.com