all listed are equivalent to a/b (bc + k) except for one

Love21

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Jan 18, 2008
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Each of the following is equivalent to a/b (bc + k) EXCEPT:

a) a (c + k / b)

b) a (c + k/b)

c) a/b (k + bc)

d) ac + ak/b

e) abc + ak / b

How do you determine which ones are equivalent? All help is welcome
 
Love21 said:
How do you determine which ones are equivalent?
One would rearrange the various expressions to get them all into the same sort of format (all with factored-out expressions in parentheses, or else all multiplied out and simplified, etc), and then one would compare the results.

Note: Due to your formatting, we cannot tell what is meant by your various expressions, so we will not be able to comment specifically. It would be helpful if you used standard web-safe formatting, as has been requested in the past.

Thank you for your understanding.

Eliz.
 
a/b (bc + k) means \(\displaystyle \frac{a}{b}(bc+k)\). Remove parenthesis and get \(\displaystyle ac + \frac{ak}{b}\).

a) a (c + k / b) means \(\displaystyle a(c+\frac{k}{b}) = ac + \frac{ak}{b}\)
b) a (c + k/b) <--- This is the same as a) so we get the same result.
c) a/b (k + bc) means \(\displaystyle \frac{a}{b}(k+bc) = \frac{ak}{b}+ac=ac+ \frac{ak}{b}\)
d) ac + ak/b means \(\displaystyle ac+\frac{ak}{b}\)
e) abc + ak / b means \(\displaystyle abc+\frac{ak}{b}\)

It appears to me that you have used correct syntax with the possible exception of a) and/or b). It is hard to interpret but the spaces in a) have no special meaning hence a) and b) are exactly the same expressions.
 
If we assume that the question as posted is correct - then obviously there is one answer.
 
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