Answer:

Sure, let's simplify each of the expressions step by step:

Step-by-step explanation:

(24m^2n + 6mn): First, let's factor out the common term, which is (6mn): (6mn(4m + 1))(6x^3y - 24xy): First, let's factor out the common term, which is (6xy): (6xy(x^2 - 4)) Now, (x^2 - 4) is a difference of squares, so we can factor it further: (6xy(x + 2)(x - 2))(30x^3 - 15xy + 18y^2): First, let's factor out the common term, which is (3): (3(10x^3 - 5xy + 6y^2))Now, (10x^3 - 5xy + 6y^2) doesn't have a common factor, so it remains as is: (3(10x^3 - 5xy + 6y^2))These are the simplified forms of the given expressions.