ANSWER
[tex]GCF=5x {y}^{2}
[/tex]
[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]
EXPLANATION
The given expression is
[tex]20x {y}^{2} + 10x {y}^{3} + 15 {x}^{3} {y}^{2} [/tex]
This can be rewritten as:
[tex] {2}^{2} \times 5x {y}^{2} + 2 \times 5x {y}^{3} + 3 \times 5{x}^{3} {y}^{2} [/tex]
The greatest common factor is the product of the least powers of the factors common to all the terms;
[tex]GCF=5x {y}^{2}
[/tex]
We factor to obtain;
[tex]5x {y}^{2} (4+ 2y + 3{x}^2 )[/tex]
