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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.

Answer and Explanation:

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}.


Learn more about this topic:

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Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20
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