3 years ago

Factorize:625a^4 + 4b^4

Mathematics

2 answers:

ch4aika [34]3 years ago

5 0

$\huge{\underline{\frak{\pink{\;Answer\;}}}}$

a⁴ + 4b⁴ = (a² + 2b² + 2ab)( (a² + 2b² - 2ab) written as product of two factors

a⁴ + 4b⁴

= (a²)² + (2b²)²

= (a² + 2b²)² - 2a²2b²

= (a² + 2b²)² - (2ab)²

= (a² + 2b² + 2ab)( (a² + 2b² - 2ab)

a⁴ + 4b⁴ = (a² + 2b² + 2ab)( (a² + 2b² - 2ab)

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Alekssandra [29.7K]3 years ago

5 0

(625 • (a4)) + 22b4

54a4 + 22b4

Final result :

625a4 + 4b4

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Factorize:625a^4 + 4b^4​

Factorize:625a^4 + 4b^4