simplify the expression show your work 3x(4x^4-5x)

(3x)(4x^4) - (3x)(5x)

12x^5 - 15x^2

or,

3x^2(4x^3-5)

Not sure what you mean by simplify

To simplify the expression 3x(4x^4 - 5x), we need to apply the distributive property.

Step 1: Distribute the 3x to both terms inside the parentheses:

3x * 4x^4 - 3x * 5x

Step 2: Simplify each term:

= 12x^5 - 15x^2

Therefore, the simplified expression for 3x(4x^4 - 5x) is 12x^5 - 15x^2.