Question

a^6-b^6 factorise the following

Answer 1

The answer is given below :

a^6 - b^6

= (a³ + b³)(a³ - b³)

= (a + b)(a² - ab + b²)(a - b)(a² + ab + b²),

which is the required factorization.

RULE :

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

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Answer 2

Answer:

(a³)²-(b³)²

=(x³+y³) (x³-y³)

=(x+y) (x²-xy+y²) (x-y) (x²+xy+y²)