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How do you simplify #4(14c-10d)-6(d+4c)#?

Answer 1

Abigail Allen

The Distributive Property is what you will use first.

4(14c - 10d) - 6(d + 4c) = #4*14c - 4*10d - 6*d - 6*4c#

Rephrase as follows: 56c-40d-6d-24c

Combine terms that are similar: 56c-24c-40d-6d = 32c-46d

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Answer 2

Genesis Allen

#32c-46d#

Distribute #4# to #14c# and #-10c# and distribute #-6# to #d# and #4c#

#[4*14c+4*-10d][-6*d+##-6*4c]#

#56c-40d-6d-24c#

Find similar terms and combine them:

#color(red)(56c)color(blue)(-40d-6d)color(red)(-24c)#

#32c-46d#

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Answer 3

Eli Assouline

To simplify 4(14c - 10d) - 6(d + 4c), you first distribute the numbers outside the parentheses to the terms inside:

4(14c) - 4(10d) - 6(d) - 6(4c)

Then, perform the multiplication:

56c - 40d - 6d - 24c

Now, combine like terms:

(56c - 24c) + (-40d - 6d)

= 32c - 46d

So, the simplified expression is 32c - 46d.

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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.