Question

a^3-1/a^3-2a+2/a
factorise this​

Answer 1

Answer:

${x}^{ 3} - \frac{1}{ {x}^{3} } - 2x + \frac{2}{x} =$

$(x - \frac{1}{x} )( {x}^{2} + x \times \frac{1}{x} + \frac{1}{ {x}^{2} } ) - 2(x - \frac{1}{x} ) =$

$(x - \frac{1}{x} )( {x}^{2} + 1 + \frac{1}{ {x}^{2} } - 2) =$

$(x - \frac{1}{x} )( {x}^{2} + \frac{1}{ {x}^{2} } - 1)$