Factorise: a^8-b^8
Please give your answer with solution

2 thoughts on “Factorise: a^8-b^8 <br /> Please give your answer with solution”

1. Answer:

   (a – b) (a + b) ( a² + b²) (a⁴ + b⁴)

   Step-by-step explanation:

   Solve : a⁸ – b⁸

   → (a⁴) ² – (b⁴) ²

   → By using formula = a² – b²

   We get :

   → (a⁴ – b⁴) (a⁴ + b⁴)

   → (a²) ² – (b²) ² (a⁴ + b⁴)

   → By using formula = a² – b²

   We get :

   → ( a² – b²) (a² + b²) (a⁴ + b⁴)

   → (a) ² – (b²) (a² + b²) (a⁴ + b⁴ )

   So the answer is :

   ∴ (a – b) (a + b) ( a² + b²) (a⁴ + b⁴)

   More To Know :

   • a² – b² = (a + b) (a – b).

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2. Answer:

   Answer:

   -a⁸ + b⁸ = (b⁴ + a⁴)(b² + a²)(b + a)(b – a)

   Step-by-step explanation:

   Factorise :- a 8 + b 8

   -a⁸ + b⁸

   = b⁸ – a⁸

   = (b⁴)² – (a⁴)²

   Using x² – y² = ( x+ y)(x -y)

   here x = b⁴ & y = a⁴

   = (b⁴ + a⁴)(b⁴ – a⁴)

   = (b⁴ + a⁴)( (b²)² – (a²)²)

   = (b⁴ + a⁴)(b² + a²)(b² – a²)

   = (b⁴ + a⁴)(b² + a²)(b + a)(b – a)

   -a⁸ + b⁸ =

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