SOLUTION: Add and simplify: 1/x-2 - 4/x^2 + 3/x+2 Multiply and simplify: x^2-6x+8/3x+9 multiplied by x+3/x^2-4 Divide and simplify: y2+7y +10/2y-4 divided by y^2-3y-10/y-2

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Question 149627: Add and simplify:
1/x-2 - 4/x^2 + 3/x+2
Multiply and simplify:
x^2-6x+8/3x+9 multiplied by x+3/x^2-4
Divide and simplify:
y2+7y +10/2y-4 divided by y^2-3y-10/y-2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
# 1

Start with the given expression.


Multiply the first term by . Multiply the second term by . Multiply the third term by .


Combine the fractions.


FOIL the terms in the numerator.


Distribute.



Combine the fractions.


Distribute


Combine like terms.



So simplifies to


In other words, where , , or














# 2



Start with the given expression.


Factor to get .


Factor to get .


Factor to get .


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


Simplify.


So simplifies to .


In other words, where , , or






# 3



Start with the given expression.


Multiply the first fraction by the reciprocal of the second fraction .


Factor to get .


Factor to get .


Factor to get .


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


Simplify.


So simplifies to .


In other words, where , , or

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