Simple fraction calculation I'm trying to write this expression as one fraction: <mtable colu

gvaldytist 2022-06-29 Answered
Simple fraction calculation
I'm trying to write this expression as one fraction:
5 y + 1 1 5 + y y + 1 3 = 5 y 5 y + 5 + 3 y y + 1 = 5 y 2 + 5 + 15 y 2 + 15 y 5 y 2 + 10 y + 5 = 20 y 2 + 15 y + 5 5 y 2 + 10 y + 5 = 4 y 2 + 3 y + 1 2 y .
Am I doing this in the right way? Any hints about what to do next, please?
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Answers (2)

Sawyer Day
Answered 2022-06-30 Author has 30 answers
Key idea to remember is that
1 a b = b a .
So you get
5 y + 1 1 5 + y y + 1 3 = 1 y + 1 + 3 y y + 1 = 1 + 3 y y + 1 .
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Eden Solomon
Answered 2022-07-01 Author has 7 answers
Your mistake was in simplifying from step 3 to 4. You cannot simplify each term like that. You can only simplify factors.
For example 5 13 could be rewritten as 2 + 3 4 + 9 Using your method this would simplify to 1 + 1 2 + 3 or 2 5 But we know that 5 13 isn't equal to 2 5
You can only simplify by factoring and canceling out factors. YOu should factor out the extra (y+1) that you have in the numerator and denominator. Alternatively you could simplify the first fraction before you add it making your life so much simpler.
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