18. Divide (p4 - 256) by (p+4), hence find if (p+4) is a factor of (p4 - 256) or not.
(T-2)(S-2013-14
x 4+7
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p
4
=(p
2
)
2
and 256=(16)
2
Thus p
4
−256=(p
2
)
2
−(16)
2
=(p
2
−16)(p
2
+16) [∵p
2
−16=(p+4)(p−4)]
=(p+4)(p−4)(p
2
+16)
p
4
=(p
2
)
2
and 256=(16)
2
Thus p
4
−256=(p
2
)
2
−(16)
2
=(p
2
−16)(p
2
+16) [∵p
2
−16=(p+4)(p−4)]
=(p+4)(p−4)(p
2
+16)
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