Question

6(a+2b+3c) USE THE DISTRIBUTIVE PROPERTY TO CREATE AN EQUIVALENT EXPRESSION!!!!!!!!

Answer 1

6a+12b+18c

Explanation:

To create an equivalent expression, we must distribute the 6. Multiply each term inside of the parentheses by 6.

6(a+2b+3c)

(6*a)+(6*2b)+(6*3c)

6*a=6a

6a+(6*2b)+(6*3c)

6*2b=(6*2)b=12b

6a+12b+(6*3c)

6*3c=(6*3)c=18c

6a+12b+18c

The equivalent expression using the distributive property is 6a+12b+18c

Answer 2

6a + 12b + 18c

Explanation:

To solve, we distribute the 6 to all of the terms inside the parentheses.

`6*a\\6*2b\\6*3c\\6a+12b+18c`

Our answer is 6a + 12b + 18c. Hope this helps!

Vocabulary:

Distribute: Give shares of something. In math: Divide / give to each term (in this case)