Factorise : x⁴ + 16y⁴ - 9z⁴  + 8x²y²

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Factorise :  x⁴ + 16 y⁴ - 9 z⁴ + 8 x² y²   , So

$\Rightarrow$ x⁴ + 16 y⁴ + 8 x² y²  - 9 z⁴  

$\Rightarrow$ [ ( x² )² + ( 4 y² )² + 2( x² ) ( 4 y² ) ] - ( 3 z² )²

$\Rightarrow$ ( x² + 4 y² )² - ( 3 z² )²                                                                            ( We know a² - b²  = ( a + b ) ( a - b )  )

$\Rightarrow$ ( x² + 4 y² + 3 z² )( x² + 4 y² - 3 z² )                                                        ( Ans )

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