SOLUTION: factor completly 5x^2y^7-15x^3y^4

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Question 68892: factor completly
5x^2y^7-15x^3y^4
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
5x^2y^7-15x^3y^4



5x%5E2y%5E7-15x%5E3y%5E4

To factor this expression completely, factor both terms

5x%5E2y%5E7++=+5%2A2++%2Ax%2Ax++%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay 

15x%5E3y%5E4+=+5%2A3%2A3%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%2Ay+



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%5E2y%5E4+%28y%5E3+-+3x%5E2%29