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4 votes
4 votes
5(3x + 6) please help

IK it's not hard its just confusing ​

User Shri Hari L
by
2.5k points

2 Answers

10 votes
10 votes

Solution:

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

Distributive properties have:


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


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

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:


\bullet \ \ 5(3x + 6)


\bullet \ \ (5 * 3x) + (5 * 6) [1]


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


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

User Roelofs
by
2.8k points
16 votes
16 votes

Answer:


\boxed{\sf{15x+30}}}

Explanation:

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

Distributive property:


\sf{A(B+C)=AB+AC}

5(3x+6)


\sf{5\left(3x+6\right)=5*3x+5*6}

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.

User RussS
by
2.6k points