A = (x3 - 3 ) / (x+1)(x-3) - 2(x-3) / (x+1) - (x+3) / (x-3)
= (x3 - 3 ) / (x+1)(x-3) - 2(x-3)2 / (x+1)(x-3) - (x+1)(x+3) / (x+1)(x-3)
= [(x3 - 3) - 2(x-3)2 - (x+1)(x+3)] / (x+1)(x-3)
= [x3 - 3 - 2(x2 - 6x + 9) - (x2 + 4x + 3 )] / (x+1)(x-3)
= [x3 - 3 - 2x2 + 12x - 18 - x2 - 4x - 3 ] / (x+1)(x-3)
= [x3 - 3x2 + 8x - 24] / (x+1)(x-3)
A = (x3 - 3 ) / (x+1)(x-3) - 2(x-3) / (x+1) - (x+3) / (x-3)
= (x3 - 3 ) / (x+1)(x-3) - 2(x-3)2 / (x+1)(x-3) - (x+1)(x+3) / (x+1)(x-3)
= [(x3 - 3) - 2(x-3)2 - (x+1)(x+3)] / (x+1)(x-3)
= [x3 - 3 - 2(x2 - 6x + 9) - (x2 + 4x + 3 )] / (x+1)(x-3)
= [x3 - 3 - 2x2 + 12x - 18 - x2 - 4x - 3 ] / (x+1)(x-3)
= [x3 - 3x2 + 8x - 24] / (x+1)(x-3)
= [x2(x-3) + 8(x-3)] / (x+1)(x-3)
= (x-3)(x2+8) / (x+1)(x-3)
= x2+8 / x+1
= x2-1+9 / x+1
= (x-1)(x+1) + 9 / x+1
= (x-1)(x+1) / x+1 + 9 / x+1
= x-1 + 9 / x+1