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Question

Factorize the following using the Identities:
m8n8

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Solution

m8n8=(m4)2(n4)2
=(m4+n4)(m4n4) ------ [Using the Identity a2b2=(a+b)(ab)]
=(m4+n4)[(m2)2(n2)2]$
=(m4+n4)[(m2+n2)(m2n2)] -----[m2n2=(m+n)(mn)]
=(m4+n4)(m2+n2)[(m+n)(mn)]
m8n8=(m4+n4)(m2+n2)(m+n)(mn)

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