Respuesta :

For this case we must simplify the following expression:

[tex]-2 (x-3)[/tex]

By definition we have that the distributive property establishes that:

[tex]a (b + c) = ab + ac[/tex]

So, if we have:

-2 (x-3)

We take into account the law of multiplication of signs:

[tex]- * + = -\\- * - = +[/tex]

So:

[tex]-2 (x-3) = - 2x + 2 * 3 = -2x + 6[/tex]

Answer:

[tex]-2x + 6[/tex]

[tex]\huge\boxed{\mathbb{HELLO!:)}}[/tex]

We are asked to use the Distributive property to simplify this expression.

All we have to do is multiply -2 by everything inside the parentheses:

a(b+c)

-2(x-3)

-2x+6

[tex]\huge\boxed{\mathcal{ANSWER:{\boxed{-2x+6)}}}}}[/tex]

[tex]\bigstar\star[/tex]Hope it helps!

[tex]\bold{Have~an~amazing~day!}[/tex]

[tex]\rm{FabulousKingdom:)[/tex]