Question

Hello!!
${p}^{4} - 81$
Factorize the following

Answer 1

hey mate
here is your answer

$= {p}^{4} - 81 \\ = ( {p}^{2} + 9)( {p}^{2} - 9) \\ = ( {p}^{2} + 9)(p + 3)(p - 3)$
hope it helps

Answer 2

$<b>Heya (^_-). Solution below.$
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♠ p⁴ - 81





★ p⁴ - 81

We can write it as

= (p²)² - (9)²




♦ Using identity : (a² - b²) = (a + b)(a - b),

= (p² + 9) (p² - 9)




We can still write it as

= [(p² + 9) (p)² - (3)²]



♦ Using identity : (a² - b²) = (a + b)(a - b),

= (p² + 9) (p + 3) (p - 3)



♥ •°• p⁴ - 81 = (p² + 9) (p + 3) (p - 3)
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Thank you.. @^_^