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Which of the following equations is not a correct use of the distributive property to simplify computation?

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2 Answers

if you remember the distributive property is easy to remember if you think 
multiplication distributes over addition
which can be written as
a(b+c) = ab + ac
If you take your all your equations it looks like you are trying to show distributive property using -3(19)
well in this case our a is  -3
but we don't have our or c
or do we
in A. you have the eqn -3(10) = -3(20) - 3(-1)
if we assume that 20  is b and -1 is c
then we would have -3(20 + (-1)) = -3(20) - 3(-1) and (20+(-1)) = 19
so A would be a correct usage of the distributive property
in B. you have (-3)(20) + (-3)(1) = -3(20+1)  but 20 + 1 ≠ 19
so it wouldn't be a correct usage of the  distributive property
for C and D you would need to do the same as I did above
Hope this helps
BTW you can find more examples for this property and others at Purple Math