4m2-16my+15y2

Reorder terms.

4m2+15y2-16my

Reorder 15y2 and -16my.

4m2-16my+15y2

Factor -16 out of -16my.

4m2-16(my)+15y2

Rewrite -16 as -6 plus -10

4m2+(-6-10)(my)+15y2

Apply the distributive property.

4m2-6(my)-10(my)+15y2

Remove unnecessary parentheses.

4m2-6my-10(my)+15y2

Remove unnecessary parentheses.

4m2-6my-10my+15y2

4m2-6my-10my+15y2

Group the first two terms and the last two terms.

(4m2-6my)-10my+15y2

Factor out the greatest common factor (GCF) from each group.

2m(2m-3y)-5y(2m-3y)

2m(2m-3y)-5y(2m-3y)

Factor the polynomial by factoring out the greatest common factor, 2m-3y.

(2m-3y)(2m-5y)

Factor 4m^2-16my+15y^2