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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)

User Pgierz
by
8.3k points

1 Answer

3 votes

Answer:

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

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

Explanation:

we have


2(b+3c)

Distribute the number 2


2(b+3c)=2b+2(3c)=2b+6c

Verify each case

case A) 3(b+2c)

distribute the number 3


3(b+2c)=3b+3(2c)=3b+6c


3b+6c \\eq 2b+6c

therefore

Choice A is not equivalent to the given expression

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

Combine like terms


b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c


2b+6c= 2b+6c

therefore

Choice B is equivalent to the given expression

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

Multiply both terns by 2


2(b)+2(3c)=2b+6c


2b+6c= 2b+6c

therefore

Choice C is equivalent to the given expression

User Ebohlman
by
8.4k points

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