English, asked by ArianaWhite, 11 months ago

Factorize: a⁴-81 Kindly help with this. I need to crosscheck❣​

Answers

Answered by EliteSoul
9

Answer:

Hola mate Your answer is given as follow

Explanation:

a {}^{4} - 81 \\  = (a {}^{2}) {}^{2} - (9) {}^{2} \\  = (a {}^{2} + 9)(a {}^{2} - 9) \\  = (a {}^{2} + 9)(a) {}^{2} - (3) {}^{2} \\  = (a {}^{2} + 9)(a + 3)(a - 3)

plz mark it as brainliest answer

Answered by Aditi990
14

Question:

Factorize: a⁴-81

Solution:

(a²)² - 9²

(a² + 9) (a² - 9)

(a² + 9) [(a)² - (3)²]

(a² + 9) (a + 3) (a - 3)

Identity used: a² - b² = (a + b)(a - b)

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