SOLUTION: Subtract the fractions: [2/(5w + 10)] - [3/(2w - 4)]

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Question 147258: Subtract the fractions:
[2/(5w + 10)] - [3/(2w - 4)]

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor the denominators.


Multiply the first term by .


Combine and multiply the fractions.


Multiply the second term by .


Combine and multiply the fractions.


Since the denominators are now equal, we can combine the numerators over the common denominator.


Distribute.


Combine like terms.


Foil to get


Distribute


So simplifies to


In other words,

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