<a href="http://www.codecogs.com/eqnedit.php?latex=\frac{10}{(x-1)(x^{2}+9)}\\ = \frac{a}{x-1}@plus;\frac{bx@plus;c}{x^2@plus;9}\\ =\frac{a(x^2@plus;9)@plus;(bx@plus;c)(x-1)}{(x-1)(x^2-9)}\\ taking, numerator, and, expanding, and, factorising\\ =(a@plus;b)x^2@plus;(c-b)x@plus;(9a-c)= 10\\ we now...