Question

factorization of x⁴-81​

Answer 1

Step-by-step explanation:

Factor x^4−81

x^4−81

=(x²+9)(x+3)(x−3)

Answer:

(x²+9)(x+3)(x−3)

Answer 2

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x⁴ - 81

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We can write x⁴ as (x²)² & 81 as (9)²

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Therefore,

x⁴ - 81 = (x²)² - (9)²

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This is of the form, a² - b² = (a + b) (a - b)

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Therefore, (x²)² - (9)²

= (x² + 9) (x² - 9)

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