Question

Simplify expression $18\times \frac{5}{6}\left(2x-5\right)$using the distributive property

Short answer

he simplified form the given expression is$30x-75$

Step-by-step solution

.  Given information

Given expression in the form

$18\times \frac{5}{6}\left(2x-5\right)$.

We have to simplify the given expression.

. Description of distributive property

Distributive property:

If a, b ,c are real numbers then$$\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}$$

. Simplification of the expression using distributive property

Given expression is $18\times \frac{5}{6}(2x-5)$

First simplify $18\times \frac{5}{6}$and then apply distributive property ,then expression becomes$$\begin{gathered} 15(2x-5)=15\times 2x-15\times 5 \\ =30x-75,\sin ce18\times \frac{5}{6}is15. \end{gathered}$$