a^4-256 :factorize
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Step-by-step explanation:
a⁴-256
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a⁴ - 256
= (a) ⁴ - (4) ⁴
= ( a² - 4² ) ( a² + 4² )
{ a² - b² = ( a + b )( a - b ) }
= ( a - 4 ) ( a + 4 ) ( a² + 16 )
{ a² - b² = ( a + b )( a - b ) }
=>a⁴ - 256 = ( a - 4 )( a + 4 )( a² + 16 )
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