SOLUTION: simplify this algebraic fraction: (y^2-y-6)/(y^2-25) ÷ (3-y)/(5-y) answer : (y+2)/(y+5) how is this simplified ?

Question 1199800: simplify this algebraic fraction:
(y^2-y-6)/(y^2-25) ÷ (3-y)/(5-y)
answer : (y+2)/(y+5)
how is this simplified ?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You may be trying to show what is equivalent to this:

You can factor quadratic trinomials and difference of squares?
This works better on paper than through pure text, keyboard, and rendering tags.

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Very obviously, about 1,
any real nonzero a, , or a and b real nonzero numbers, .
for factor ,
.
Answer by MathTherapy(10553) (Show Source): You can put this solution on YOUR website!

simplify this algebraic fraction: (y^2-y-6)/(y^2-25) ÷ (3-y)/(5-y) answer : (y+2)/(y+5) how is this simplified ? What did you try? I guess nothing! ====> ÷ ÷ ----- Factoring 1st fraction's numerator and denominator ----- Applying KCF ---- Multiplying 2nd fraction's numerator and denominator by - 1 to match the factors in 1st fraction's numerator and denominator

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