Question

Which expressions are equivalent?

Answer 1

Only 3(a−b) and 3a−3b are equivalent

Further explanation:

We have to evaluate each expression to evaluate if the expressions are equivalent or not.

So,

For 3(a−b)

$3(a-b)\\Distributing\ 3\ in\ bracket\\3.a-3.b\\=3a-3b$

As we can see that 3(a-b) results in 3a-3b so these are equivalent

For 2a(2+b)

$2a(2+b)\\Distributing\ 2a\\2a.2+2a.b\\=4a+2ab$

As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent

Hence,

Only 3(a−b) and 3a−3b are equivalent

Keywords: Equivalent expression, Polynomials

Learn more about polynomials at:

• brainly.com/question/4824362
• brainly.com/question/4847829

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