Question

factorise 81-p^4 plz show its pic plz​

Answer 1

Answer:

(p + 3)(p - 3)(p + 9)

Step-by-step explanation:

⇒ 81 - p⁴

⇒ 3⁴ - p⁴       { 81 = 3⁴ }

⇒ (3²)² - (p²)²

       Using a² - b² = (a+b)(a-b)

⇒ (3² + p²)(3² - p²)

      further, using same property,

⇒ (3² + p²)(3 + p)(3 - p)

⇒ (9 + p²)(3 + p)(3 - p)

⇒ (3 + p)(3 - p)(p + 9)

Answer 2

Given Expression :-

81 - p⁴

Solution :-

Take Common.

➝ (3²)² - (p²)²

Use Identity :- a² – b² = (a + b)(a – b).

➝ (3² + p²)(3² – p²).

Again, Use the same Identity.

➝ (9 + p²)(3 + p)(3 – p).

Hence, This is the Factorised form.