Question

find the factor of p⁴- 81 ​

Answer 1

Answer:

The factors are (p² + 9), (p + 3), (p - 3)

Step-by-step explanation:

Given: p⁴- 81 ​

To Do: Factors of p⁴- 81 ​

Calculation:

p⁴- 81

= (p²)² - 9²

= (p² + 9) (p² - 9) [ as, a² - b² = (a+b) (a-b) ]

= (p² + 9) (p + 3) (p - 3) [ as, a² - b² = (a+b) (a-b) ]

factors of p⁴- 81 ​= (p² + 9), (p + 3), (p - 3)

Hence, the factors are (p² + 9), (p + 3), (p - 3) (ans.)