Question

Factorise each of the following: 81 – p⁴ using identites ​

Answer 1

Answer:

(3+p)(3-p)(9+p²)

Step-by-step explanation:

81 - p⁴

=(9-p²)(9+p²)

=(3+p)(3-p)(9+p²)

Answer 2

Answer:

$(9+p^{2})(3+p)(3-p)$

Step-by-step explanation:

Using the formula  $a^{2}-b^{2}=(a+b)(a-b)$

$\\\\\\\\81-p^{4}$

$=(9)^{2}-(p^{2} )^{2}\\=(9+p^{2})(9-p^{2})\\=(9+p^{2})((3)^{2} -(p)^{2})\\=(9+p^{2})(((3+p)(3-p))\\=(9+p^{2})(3+p)(3-p)$