batsbud18
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Please Help me! 15 Points!
Which expressions are equivalent to 2(b + 3c) ?
A: 3(b+2c)
B: (b + 3c) + (b + 3c)
C: 2(b) + 2(3c)

Sagot :

yeetusthecleetus

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

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

Step by Step instruction :)))

we have

2 (b+3c)

Distribute the number 2

2(b+3c) = 26 + 2(3c) = 26 + 6c

Verify each case

Case A) 3(b+2c)

distribute the number 3

3(b + 2c) = 36 + 3(2c) = 36 + 6c

3b + 6c is NOT equal to 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 = 26 + 6c

2b + 6c = 26 + 6c

therefore

Choice B is equivalent to the given expression

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

Multiply both terms by 2

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

2b + 6c = 26 + 6c

therefore

Choice C is equivalent to the given expression

♡Hope it helps♡

Answer:

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

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

Step by Step instructions:

we have

2 (b+3c)

Distribute the number 2

2(b+3c) = 26 + 2(3c) = 26 + 6c

Verify each case

Case A) 3(b+2c)

distribute the number 3

3(b + 2c) = 36 + 3(2c) = 36 + 6c

3b + 6c is NOT equal to 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 = 26 + 6c

2b + 6c = 26 + 6c

therefore

Choice B is equivalent to the given expression

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

Multiply both terms by 2

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

2b + 6c = 26 + 6c

therefore

Choice C is equivalent to the given expression

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.