Question

a cube minus 1 by a cube minus 2 + 2 by a

Answer 1

cross multiply each of the terms

we get
$let \: a \: be \: x \: and \: b \: be \: y \: come \: lets \: start \\ \\ \frac{ {x}^{3} - 1}{ {x}^{2} - 2} + \frac{2}{x} cross \: multiply \: each \: of \: the \: terms \: \: we \: get \\ \\ \frac{ {x}^{4} - x}{ {2x}^{2} - 4 } \\ = \frac{( {x}^{2} {)}^{2} - {3}^{2} }{2( {x}^{2} - 2) }$