Which expressions are equivalent to 4d+6+2d4d+6+2d

Ответ:

kandiceboggs1

09.03.2022

Options A and C are correct choices.

Step-by-step explanation:

We have been given an expression 4d+6+2d and we are asked to choose all the equivalent expressions from given choices.

Let us simplify our given expression.

4d+6+2d=(4d+2d)+6

4d+6+2d=6d+6

Let us see which of our given choices matches with our answer.

A. 2(3d+3)

Upon using distributive property a(b+c)=a*b+a*c we will get,

2*3d+2*3

6d+6

Therefore, option A is a correct choice.

B. 6(d+6)

Upon using distributive property a(b+c)=a*b+a*c we will get,

6*d+6*6

6d+36

Since this expression is not equivalent to our answer, therefore, option B is not a correct choice.

C. (3d+3)+(3d+3)

Upon removing parenthesis we will get,

3d+3+3d+3

Upon combining like terms we will get,

(3d+3d)+(3+3)

6d+6

Therefore, option C is the correct choice.

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