81x4-y4 factorise this
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Is it your question ( 81x^4 - y^4 ) ?
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Q. Factorize 81x⁴ - y⁴.
Sol : ( 81 x⁴ ) - ( y )⁴
= ( 9x² )² - ( y²)²
= ( 9x² + y² ) ( 9x² - y² ) [ ( a² - b² ) = ( a + b ) ( a - b ) ]
= ( 9x² + y² ) { ( 3x)² - ( y )² }
= ( 9x² + y² ) ( 3x + y ) ( 3x - y ). [ ( a² - b² ) = ( a + b ) ( a - b ) ]
Sol : ( 81 x⁴ ) - ( y )⁴
= ( 9x² )² - ( y²)²
= ( 9x² + y² ) ( 9x² - y² ) [ ( a² - b² ) = ( a + b ) ( a - b ) ]
= ( 9x² + y² ) { ( 3x)² - ( y )² }
= ( 9x² + y² ) ( 3x + y ) ( 3x - y ). [ ( a² - b² ) = ( a + b ) ( a - b ) ]
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= ( 9x² + y² ) ( 3x + y ) ( 3x - y )
Hope it helps
Hope it helps
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