Menu Close

Question-209129




Question Number 209129 by Adeyemi889 last updated on 02/Jul/24
Answered by A5T last updated on 02/Jul/24
((x^3 +3)/(x^2 −1))=((x(x^2 −1)+x+3)/(x^2 −1))=x+((x+3)/(x^2 −1))  ((x+3)/(x^2 −1))=(A/(x−1))+(B/(x+1))⇒x+3=(A+B)x+A−B  ⇒A+B=1;A−B=3⇒A=2;B=−1  ⇒((x^2 +3)/(x^2 −1))=x+(2/(x−1))−(1/(x+1))
x3+3x21=x(x21)+x+3x21=x+x+3x21x+3x21=Ax1+Bx+1x+3=(A+B)x+ABA+B=1;AB=3A=2;B=1x2+3x21=x+2x11x+1

Leave a Reply

Your email address will not be published. Required fields are marked *