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Simplify #3/4(2x-8)# using distributive property of numbers?

Answer 1

Everly Taylor

#3/2x-6#

Using distributive property of Rational numbers

#3/4(2x-8)#

= #3/4xx2x-3/4xx8#

= #3/cancel4^2xxcancel2^1x-3/cancel4^1xxcancel8^2#

= #3/2x-6#

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Answer 2

Gianna Caruso

To simplify ( \frac{3}{4}(2x - 8) ) using the distributive property:

[ \frac{3}{4}(2x - 8) = \frac{3}{4} \times 2x - \frac{3}{4} \times 8 ]

[ = \frac{6x}{4} - \frac{24}{4} ]

[ = \frac{6x - 24}{4} ]

[ = \frac{6(x - 4)}{4} ]

So, ( \frac{3}{4}(2x - 8) ) simplifies to ( \frac{6(x - 4)}{4} ).

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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.