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Which expression is equivalent to the given expression after using the distributive property?

4(x + 5) + 8x

Respuesta :

Answer:

Step-by-step explanation:

4*(x + 5) + 8x = 4*x + 4*5 + 8x

                       = 4x + 20 + 8x

                        = 4x + 8x + 20

                       = 12x + 20

We've been given to find out the exactly same equivalent expression for the equation 4(x + 5) + 8x by using distributive property.

Distributive property is nothing but it is a simple property in mathematics which is very common to use and help to simply the equation.

Now, multiplying 4 to the (x + 5) we get,

[tex]\implies\sf{4(x + 5) + 8x}[/tex]

[tex]\implies\sf{4x + 20 + 8x}[/tex]

[tex]\implies\sf{4x + 8x + 20}[/tex]

[tex]\implies\sf{12x + 20}[/tex]

  • The simplest equivalent expression is 12x + 20