Question

Factorise : ( x to the power 6 - 729 )

Answer 1

Solution:

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Given:

To factorize :

$x^6 - 729$
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$x^6 - 729$

=> (x²)³ - (9)³

We know that,

a³ - b³ = (a - b)(a² +ab + b²)

so,

(x²)³ - (9)³

=> (x² - 9) ((x²)² +(x²)(9) + (9)²)

=> (x² - 9) ($x^4 + 9x^2 + 81$)

=> (x+3)(x-3)($x^4 + 9x^2 + 81$)

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                          Hope it Helps !!

Answer 2

Hello there,

Hope the answer helps.