fectoise p the power 4-256
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Step-by-step explanation:
Given:
p^4-256p
4
−256
\textbf{To find:}To find:
\text{Factors of $p^4-256$}Factors of p
4
−256
\textbf{Solution:}Solution:
\text{Consider,}Consider,
p^4-256p
4
−256
=(p^2)^2-(16)^2=(p
2
)
2
−(16)
2
\text{Using the identity,}Using the identity,
\boxed{\bf\,a^2-b^2=(a-b)(a+b)}
a
2
−b
2
=(a−b)(a+b)
=(p^2-16)(p^2+16)=(p
2
−16)(p
2
+16)
=(p^2-4^2)(p^2+16)=(p
2
−4
2
)(p
2
+16)
\text{Using the above identity once again}Using the above identity once again
=(p-4)(p+4)(p^2+16)=(p−4)(p+4)(p
2
+16)
I hope it will help you
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Answered by
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Answer:
Ok
Step-by-step explanation:
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