# Factorise : x4 + 16y4 - 9z4  + 8x2y2

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Please find below the solution to the asked query:

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

$⇒$ x4 + 16 y4 + 8 x2 y2  - 9 z4

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

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

$⇒$ ( x2 + 4 y2 + 3 z2 )( x2 + 4 y2 - 3 z2 )                                                        ( Ans )

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