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How do you simplify #-c (3b - 7a)#?

Answer 1

Eva Adamson

#7ac-3bc#

Multiplying each term in the bracket by -c is required.

This is referred to as the #color(blue)"distributive law"#

#rArrcolor(red)(-c)(3b-7a)#

#=(color(red)(-c)xx3b)+(color(red)(-c)xx-7a)#

#=-3bc+7ac=7ac-3bc#

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Answer 2

Hazel Anglin

To simplify the expression -c(3b - 7a), distribute the -c to each term inside the parentheses:

-c * 3b = -3cb -c * (-7a) = 7ca

Combine the terms:

-3cb + 7ca

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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.

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