Find the greatest common factor 6x^2y^4+18x^3y^5-12x^5y^3

6x^2y^3

Step-by-step explanation:

6x^2y^4+18x^3y^5-12x^5y^3

Lets break each term into prime factors

6x^2y^4  =3*2*x*x*y*y*y*y

18x^3y^5 = 9*2^3y^5  = 3*3*2*x*x*x*y*y*y*y*y

12x^5y^3 = 4*3x^5y^3 = 2*2*3*x*x*x*x*x*y*y*y

Each has one 2, one 3, two x's and three y's

So the greatest common factor is

2*3*x*x*y*y*y

6x^2y^3

this is answer of 144 cubic meters

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8