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Each of the following is equivalent to xy/z * (5(x + y)) EXCEPT:
- a)xy(5y + 5x)/z
- b)xy(5x + 5y)/z
- c)5x²y + 5xy²/z
- d)5x² + y²/z
- e)None
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Each of the following is equivalent toxy/z* (5(x + y)) EXCEPT:a)xy(5y ...
Choice a is equivalent because we can say that technically we are multiplying two fractions together: (xy)/z and (5(x + y))/1. We multiply the numerators together and the denominators together and end up with xy (5x + 5y)/z. xy (5y + 5x)/z is also equivalent because it is only simplifying what is inside the parentheses and switching the order- the commutative property tells us this is still the same expression. 5x²y + 5xy²/z is equivalent as it is just a simplified version when the numerators are multiplied out. Choice 5x² + y²/z is not equivalent because it does not account for all the variables that were in the given expression and it does not use FOIL correctly.
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