Question

Is 3a + 3B equivalent to 3 (a + 2B)
true or false​

Answer 1

False

`3(a + b) ≠ 3a+6b`

Explanation:

`3a + 3b \\ 3(a) + 3(b) \\ 3(a + b)`

`3(a + 2b) \\ 3a+3(2b) \\ 3a+6b`

Hope it is helpful....

Answer 2

Hi there!

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I believe your answer is:

The expressions given are not equivalent.

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Here’s why:

• We can check if the expressions are equivalent by simplifying one of them.

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`\boxed{3(a+2B)}\\\\---------\\\rightarrow3*a = 3a\\\\\rightarrow3 * 2B = 6B\\\\\text{Therefore:}\\\\3(a+2B)=\boxed{3a+6B}\\\\\text{and}\\\\\boxed{3(a+2B)\\eq 3a+3B}`

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• You can also say that they are not equivalent because it was not completely distributed.

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Hope this helps you. I apologize if it’s incorrect.