Question

factorize: x^4 - 81
With steps​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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

Step-by-step explanation:

$x^4 - 81$

$=x^4 - 3^4$

$=(x^2 + 3^2)(x^2 - 3^2)$  [using the identity $a^2 - b^2 = (a+b)(a-b)$]

$=(x^2 + 9)(x + 3)(x - 3)$  [using the same identity]