Question

factor 81v^6-3d^6

Answer 1

81v^6-3d^6
= 3 (27v^6 - d^6 )
= 3 (3v^2 - d^2)( 9v^4 + 3v^2d^4 + d^4 )
= 3 (√3v+d )(√3v-d ) ( 9v^4 + 3v^2d^4 + d^4 )