Q65. - Algebra 2

Question

Name the property illustrated by the following equation.

 

$m\left(4-3\right)=m·4-m·3$

Step-by-Step Solution

Answer

The property is distributive property.

Step 1- Define the associative property.

The distributive property of subtraction states that multiplying the subtraction of two or more numbers by a number will give the same result as multiplying each number individually by the number and then subtracting the products together.

Mathematically, the property is represented as 

$a·\left(b-c\right)=a·b-a·c$

Step 2- Step description.

Consider the equation $m\left(4-3\right)=m·4-m·3$.

 

Simplify the equation as follows:

$\begin{array}{c}m(4-3)=m\cdot 4-m\cdot 3\\ m(4-3)=4m-3m\\ m=m\end{array}$

Step 3- Step description.

Since multiplying the subtraction of two or more numbers by a number will give the same result as multiplying each number individually by the number and then subtracting the products together thus, the property is the distributive property

 

Therefore, the property is distributive property.