Which expressions are equivalent to 2(b+3c)?
choose all answers that apply:
(choice a)
3(b+2c)
(choice b)
(b+3c)+(b+3c)
(choice c)
2(b)+2(3c)

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

Distribute the number 2

Verify each case

case A) 3(b+2c)

distribute the number 3

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

therefore

Choice C is equivalent to the given expression