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If a+b +1 = 0, then the value of (a3+b3 +1 – 3ab) is ;

a

1

b

– 1

c

3

d

0

Answer : Option D
Explanation :

If a+b+c=0;a3+b3+c33abca+b+c=0 ; a^{3}+b^{3}+c^{3}-3 a b c

=(a+b+c)×(a2+b2+c2+ab+bc+ca)=(a+b+c) imesleft(a^{2}+b^{2}+c^{2}+a b+b c+c a ight)

then a3+b3+c33abc=0a^{3}+b^{3}+c^{3}-3 a b c=0

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