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Question
Factorize each of the following expression:
a4 − (2b + c)4
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Solution
\[a^4 - (2b + c )^4 \]
\[ = ( a^2 )^2 - [(2b + c )^2 ]^2 \]
\[ = [ a^2 + (2b + c )^2 ][ a^2 - (2b + c )^2 ]\]
\[ = [ a^2 + (2b + c )^2 ]{[a + (2b + c)][a - (2b + c)]}\]
\[ = [ a^2 + (2b + c )^2 ](a + 2b + c)(a - 2b - c)\]
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