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How do you find the reverse distributive property of # 3p - 6q + 12r#?

Answer 1

Ethan Adkins

Divide out the highest common factor from the terms.
#3(p-2q+4r)#

This process would be the same as 'factorise'.

What factor do all of the terms contain?

That number would have been in front of a bracket and have been multiplied by all the terms in the bracket.

#color(red)(3)p -color(red)(6)q +color(red)(12)r" "larr# all multiples of #3#

#=color(red)(3)(p-2q+4r)#

If you now apply the distributive property you will end up with the expression you started with.

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Answer 2

Eva Abramson

To find the reverse distributive property of (3p - 6q + 12r), you can factor out the common factor from each term. The common factor here is the greatest common divisor of the coefficients, which is 3. So, the reverse distributive property is (3(p - 2q + 4r)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.