Question

resolve into partial fraction x^2+x+3/(x+3) (x^2+2)​

Answer 1

First take the LCM of above expression we get

expand it (x+3)(x-2) + (x+2)(x-3)/ (x-3)(x-2)=2

x^2 +3x - 2x -6+ x^2 +2x -3x -6= 2 ( x-3)

(x-2)

2x^2 -12 = 2(x^2 -3x - 2x+6)

2x^2 -12 = 2x^2 -10x +12

10x = 24 x = 12/5 is your answer when you put it in expression you get -9 + 11= 2 Hope it helps