Question

Name the property illustrated by each equation or statement.

$\left(\mathbf{6}\mathbf{-}\mathbf{2}\right)\mathbf{a}\mathbf{-}\mathbf{3}\mathbf{b}\mathbf{=}\mathbf{4}\mathbf{a}\mathbf{-}\mathbf{3}\mathbf{b}$

Short answer

Property illustrated in the statement isdistributive property.

Step-by-step solution

– Distributive property.

For any real numbers $p,q,$ and r, $\left(q+r\right)p=qp+rp$.

– Description of step.

Apply a distributive property to $\left(6-2\right)a-3b$.

$6a-2a-3b=4a-3b$

– Description of step.

From step 1 and step 2, it can be concluded that the property illustrated in the given statement is distributive property.

Therefore, distributive property is illustrated in the given statement.