Factorize: (2x+y)³-(x-2y)³
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factorising :(2x+y)cube....
by using the identity ...(x+y)cube =x cube +y cube+3xy(x+y)........1@
ans . will be..
8x cube+y cube+12x sq. y+6xy sq.
...now :(x-2y)....
using ...(x-y)cube=x cube- y cube-3xy (x-y)
ans. x cube -8y cube-6x sq. y+12xy sq.
....
now add both...
ans. ....9x cube -7y cube +6x sq. y+ 18xy sq.
.....
HOPE IT HELPS!!
by using the identity ...(x+y)cube =x cube +y cube+3xy(x+y)........1@
ans . will be..
8x cube+y cube+12x sq. y+6xy sq.
...now :(x-2y)....
using ...(x-y)cube=x cube- y cube-3xy (x-y)
ans. x cube -8y cube-6x sq. y+12xy sq.
....
now add both...
ans. ....9x cube -7y cube +6x sq. y+ 18xy sq.
.....
HOPE IT HELPS!!
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