Can anyone explain in words why these are equivalent expressions.

10(b + 4c) is equivalent to 10b + 40c

The distributive property says that when there is a number outside of parenthesis, this means it should be distributed (or multiplied) to the values inside the parenthesis.

So in this situation, 10 x b = 10b

and 10 x 4c = 40 c

so 10(b + 4c) becomes 10b + 40c once the 10 is distributed within the parenthesis.

I hope this helps!

They are equivalent expressions because if you use distributive property and multiply 10*b, then multiply 10*4c, you get 10b+40c

Step-by-step explanation:

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