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\[A/(x+1)+B/(x+1)\]

oops...keeping doing typos

\[A/(x+1)+B(x+1)^2\]

how does it get from (x^2+5x+6)/(x^2+2x+1)
to
1+ (3x+5)/(x^2+2x+1)

thank you for your help btw

I didn't get 1+(3x+5).... Just factor the bottom and put the coefficients like i did above.