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I need to find the sum

I need to find the sum-example-1
User Jiddoo
by
4.7k points

1 Answer

0 votes

Answer:

2(y^2 +4y+2)

----------------------------

(y+1)^2(y+2)

Explanation:

2y 4

--------------- + -------------

y^2 +2y+1 y^2 +3y+2

Factor the denominators

2y 4

--------------- + -------------

(y+1)(y+1) (y+2)(y+1)

Get a common denominator

2y (y+2) 4(y+1)

--------------- + -------------

(y+1)^2(y+2) (y+2)(y+1)^2

Distribute in the numerator

2y^2+4y 4y+4

--------------- + -------------

(y+1)^2(y+2) (y+2)(y+1)^2

Combine like terms

2y^2 +8y+4

----------------------------

(y+1)^2(y+2)

Factor out a 2

2(y^2 +4y+2)

----------------------------

(y+1)^2(y+2)

User NickW
by
5.0k points