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Question
Factorize each of the following expression:
x4 − 625
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Solution
\[x^4 - 625\]
\[ = ( x^2 )^2 - {25}^2 \]
\[ = ( x^2 + 25)( x^2 - 25)\]
\[ = ( x^2 + 25)( x^2 - 5^2 )\]
\[ = ( x^2 + 25)(x + 5)(x - 5)\]
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