Question

Which expressions are equivalent to 4d+6+2d4d+6+2d ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2(3d+3)2(3d+3) (Choice B) B 6(d+6)6(d+6) (Choice C) C (3d+3)+(3d+3)(3d+3)+(3d+3)\

Answer 1

Answer:

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.