" 21."(a+b)^(3)-a-b

a=1.21,b=2.12" ant "c=-3.33 ,,,,, a^(3)+b^(3)+c^(3)-3abc=

If a-b=4 and ab=21, find the value of a^(3)-b^(3)

If alt=3cosx+5sin(x-pi/6)lt=b for all x then (a , b) is (a) (-sqrt(19),sqrt(19)) (b) (-17 ,17) (c) (-sqrt(21),sqrt(21)) (b) none of these

If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3)|=0 and vectors (1,a,a^2),(1,b,b^2) and (1,c,c^2) are non coplanar then the product abc equals (A) 2 (B) -1 (C) 1 (D) 0

If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3)|=0 and the vectors A-=(1, a , a^2), B-=(1, b , b^2), C-=(1, c , c^2) are non-coplanar then the value of abc equal to

Prove that |[a,a^2,1+pa^3] , [b,b^2,1+pb^3] , [c,c^2,1+pc^3]|=(1+pabc)(a-b)(b-c)(c-a)