x+y+1=0 then prove that X cube + y cube + 1 =3xy
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HERE IS YOURS SOLUTION;
◆ If x+y+1 = 0
◆ prove that x3 + y3 + 1 =3xy
HERE WE SOLVE IT;
We know x+y+1=0
then x+y = -1
x+y+1 = 0
(x+y)3 = (-1)3
x3 + y3 +3xy(x+y) = -1
x3 +y3 +3xy(-1) = -1
x3 +y3 - 3xy = -1
x3 + y3 +1 = 3xy
HENCE PROVED
HOPE IT HELPS
◆ If x+y+1 = 0
◆ prove that x3 + y3 + 1 =3xy
HERE WE SOLVE IT;
We know x+y+1=0
then x+y = -1
x+y+1 = 0
(x+y)3 = (-1)3
x3 + y3 +3xy(x+y) = -1
x3 +y3 +3xy(-1) = -1
x3 +y3 - 3xy = -1
x3 + y3 +1 = 3xy
HENCE PROVED
HOPE IT HELPS
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