Question

factorise x⁶+5x³+8
please answer this....​

Answer 1

Step-by-step explanation:

= x^6 + 5x³ + 8

= x^6 + 5x³ + 8 + x³- x³

= x^6 + 6x³ + 8 - x³

= x^6 + 8 - x³ + 6x³

= ( x² )³ + ( 2 )³ + ( -x )³ - 3(x²)(2)(-x)

Using ( a³ + b³ + c³ - 3abc )

= ( a+ b + c ) ( a² + b² + c² - ab - bc - ca )

= ( x² + 2 - x) [(x²)² + 2² + (-x)² -(x²)(2) -(2)(-x) -(-x)(x²)]

= ( x² + 2 - x ) ( x^4 + 4 + x² - 2x² + 2x + x³)

= ( x² + 2 - x ) ( x^4 + 4 - x² + 2x + x³)

= ( x² + 2 - x ) ( x^4 + x³- x² + 2x + 4 )