SOLUTION: Add or subtract the fractions. Express the answer in simplest form: A: [4/(x-2)]+[3/x^2-x-2] B: [4y/(y^2+6y+5)]-[2y/(y^2-1)]

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Question 147022: Add or subtract the fractions. Express the answer in simplest form:
A: [4/(x-2)]+[3/x^2-x-2]
B: [4y/(y^2+6y+5)]-[2y/(y^2-1)]

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
A:
Remember, to add or subtract fractions you need a common denominator.
Luckily,

So you can multiply, the first term by (x+1)/(x+1) to get it done.
A:
A:
A:
A:
B:
Let's look at both denominators and factor them.
First term denominator:

Second term denominator:

Multiply the first term by (y-1)/(y-1) and
then multiply the second term by (y+5)/(y+5) to get
the common denominator (y+1)(y-1)(y+5).
B:
B:
B:
B:

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