Factor 24x (4) y + 10x (3) y - 6x (2) y

Factoring 24 (x^4) y + 10 (x^3) y - 6 (x^2) y:

Work with one variable (or the constants) at a time. Starting with the constants, our largest common factor is 2:

2 (12 (x^4) y + 5 (x^3) y - 3 (x^2) y)

Our largest common x-factor is x^2. We factor that out:

2 * (x^2) * (12 (x^2) y + 5xy - 3y)

Factor out the common factor of y for our final result:

2y*x^2 * (12 (x^2) + 5x - 3)