Q56. - Algebra 2

Question

Name the property Illustrated by the equation

56.$6\left(x+9\right)=6x+6\left(9\right)$.

Step-by-Step Solution

Answer

The Distributive property is used in the expression.

Step 1 – Apply the concept of Multiplicative inverse property

The Distributive property of real numbers is defined as $a(b+c)=a\cdot b+a\cdot c$

Step 2 – Example for the distributive property.

The distributive property example is $3(2+y)=3\cdot 2+3\cdot y$

Step 3 – Evaluate the expression

Since, ,$6(x+9)=6x+6\left(9\right)$ is obtained by applying the distributive property.

 Thus, the Distributive property is used in the expression.