Question 68892
5x^2y^7-15x^3y^4
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{{{5x^2y^7-15x^3y^4}}}
To factor this expression completely, factor both terms
{{{5x^2y^7  = 5*2  *x*x  *y*y*y*y*y*y*y}}} 
{{{15x^3y^4 = 5*3*3*x*x*x*y*y*y*y }}}

Find the greatest common fator (GCF) of the two terms
      5x^2y^7  = 5  *x*x  *y*y*y*y*y*y*y
      15x^3y^4 = 5*3*x*x*x*y*y*y*y   
GCF            = 5  *x*x  *y*y*y*y
               = 5x^2y^4

Factor out the greatest common factor of the two terms.
{{{5x^2y^4 (y^3 - 3x^2)}}}