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5 votes
Factorize
if possible x⁴-2⁴​

1 Answer

2 votes

Explanation:


{x}^(4) - {2}^(4) \\ = ({x}^(2) ) ^(2) - ({2}^(2) ) ^(2) \\ = ({x}^(2) + {2}^(2) ) * ({x}^(2) - {2}^(2) ) \\ = ({x}^(2) + 4 ) * ({x} + {2}) * ({x} - {2}) \\ = ({x} - {2}) ({x} + {2}) ({x}^(2) + 4 ) \\

User Drew Shafer
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