hi :) the power of x in the denominator & numerator are the same and I’m supposed to do Long division but i forgit. Then I did corrections and realised that I got the same answer ? anyone able to help I’m confused :/

Step-by-step explanation:
Please see the attached picture.
*After the step A=3,
the conclusion should be
[tex] \frac{ - 3x + 30}{(x + 2)(x - 4)} = \frac{3}{x - 4} - \frac{6}{x + 2} [/tex]
Hence the answer is
[tex] \frac{2 {x}^{2} - 7x + 14}{(x + 2)(x - 4)} = 2 + \frac{3}{x - 4} - \frac{6}{x + 2} [/tex]