# Simplify the expression. 3x(4x^4-5x)

## Question:

Simplify the expression.

{eq}3x(4x^4-5x) {/eq}

## Distributive Property of Multiplication:

In the distributive property of multiplication where a monomial is multiplied with a polynomial, the monomial is distributed with each term of the polynomial by multiplying with each term.

To simplify the expression distribute the monomial:

{eq}3x(4x^4-5x) {/eq}

{eq}(3x)(4x^4)-(3x)(5x) {/eq}

Evaluating:

{eq}12x^5-15x^2 {/eq}

The expression {eq}3x(4x^4-5x) {/eq} when simplified is {eq}12x^5-15x^2 {/eq}.