Respuesta :

charliethebest2002

Answer:

[tex]\boxed{\sf{15x+30}}}[/tex]

Step-by-step explanation:

It is only necessary to use the distributive property to solve this problem.

Distributive property:

[tex]\sf{A(B+C)=AB+AC}[/tex]

5(3x+6)

[tex]\sf{5\left(3x+6\right)=5*3x+5*6}[/tex]

Then, solve.

5*3=15

5*6=30

= 15x+30

To get the correct answer, don't forget to include the variable.

So, the correct answer is 15x+30.

I hope this helps! Let me know if my answer is wrong or not.

Solution:

5(3x + 6) is an example of a distributive property.

Distributive properties have:

[tex]\bullet \ \ \tex\text{Two or more terms inside the parenthesis [i.e., (a + b)]}[/tex]

[tex]\bullet \ \ \tex\text{A term multiplying with all the terms inside the parenthesis.[i.e., a(b + c})][/tex]

To simplify a distributive property:

  1. Multiply the term outside the parenthesis with the terms inside the parenthesis. [i.e., a(b + c) = (a × b) + (a × c]
  2. Simplify the terms inside the parenthesis. [i.e., (ab) + (ac)]
  3. Open the parenthesis. [i.e., ab + ac]

Step-by step calculations:

[tex]\bullet \ \ 5(3x + 6)[/tex]

[tex]\bullet \ \ (5 \times 3x) + (5 \times 6)[/tex]                                                                           [1]

[tex]\bullet \ \ (15x) + (30)[/tex]                                                                                   [2]

[tex]\bullet \ \ \boxed{\bold{15x + 30}}[/tex]                                                                                    [3]

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