Question

Factorise the term p^4-256

Answer 1

$\textbf{Given:}$

$p^4-256$

$\textbf{To find:}$

$\text{Factors of p^4-256 }$

$\textbf{Solution:}$

$\text{Consider,}$

$p^4-256$

$=(p^2)^2-(16)^2$

$\text{Using the identity,}$

$\boxed{\bf\,a^2-b^2=(a-b)(a+b)}$

$=(p^2-16)(p^2+16)$

$=(p^2-4^2)(p^2+16)$

$\text{Using the above identity once again}$

$=(p-4)(p+4)(p^2+16)$

$\textbf{Answer:}$

$\boxed{\bf\,p^4-256=(p-4)(p+4)(p^2+16)}$

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Answer 2

Answer:

Hi mate

Step-by-step explanation:

Refer to the attachment ...

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