Factor the following polynomials i 15y2x4 5x3y3 10y2x3 by

Factor the following polynomials. (i) 15y^2x^4 - 5x^3y^3 + 10y^2x^3 by using GCF (ii) 3x^2y - 6x + 4xy^2 - 8y by grouping

1) 15y^2 x^4 - 5x^3y^3 + 10y^2x^3

taking out the GCF

5y^2x^3 ( 3x - y + 2)

factored form is

5y^2x^3 ( 3x - y + 2)

2) 3x^2 y - 6x + 4xy^2 - 8y

making a group of 2 and finding gcf in each group

( 3x^2 y - 6x) + (4xy^2 - 8y)

gcf from 1st group is 3x and gcf from 2nd group is 4y

3x ( xy - 2) + 4y( xy - 2)

therefore, final factors are

(3x+4y)(xy-2)