Question

Which expressions are equivalent to 2(b+3c)?

Answer 1

Answer:

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

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

Step-by-step 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

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

$3b+6c \neq 2b+6c$

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

Answer 2

Answer:

B and C

Step-by-step explanation: