Question

$x^{6} + 5x^{3} +8$Factorise

Answer 1

x⁶ +5x³ + 8
(x²)³ + 5x³ + 2³
(x² + 2)³ - 6x³ - 12x + 5x³ 
 (x² + 2)³ - x³ - 12x 
 (x² + 2 - x)(x⁴ + 4 + 2x² + x² + x² +2 ) - 12x
 (x² + 2 - x)(x⁴ + 4x² + 6 ) - 12x