Question 41594
<pre><font size = 5><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>

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 x<sup>3</sup>

So the GCF so far is 4x<sup>3</sup>

The letter y appears in all three terms, 
the smallest power that appears is y<sup>3</sup>

So the GCF is 4x<sup>3</sup>y<sup>3</sup>

So factor out 4x<sup>3</sup>y<sup>3</sup>

12x<sup>4</sup>y<sup>3</sup> + 16x<sup>3</sup>y<sup>3</sup> - 20x<sup>3</sup>y<sup>4</sup>

  4x<sup>3</sup>y<sup>3</sup>(3x + 4 - 5y)

Edwin
AnlytcPhil@aol.com</pre>