If `a+b=c` then `a^3+b^3-c^3` is equal to

If a+b+c=0, then a^(3)+b^(3)+c^(3) is equal to

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these

If a,b,c are in A.P., then a^(3)+c^(3)-8b^(3) is equal to

If a ,b ,c ,d in R^+ such that a+b+c=18 , then the maximum value of a^2b^3c^4 is equal to a. 2^(18)xx3^2 b. 2^(18)xx3^3 c. 2^(19)xx3^2 d. 2^(19)xx3^3

a, b, c are three vectors, such that a+b+c=0 |a|=1, |b|=2, |c|=3, then a*b+b*c+c*a is equal to

If a + 2b + 3c= 0 , then axxb + bxxc+c xxa is equal to

In a triangle , if r_(1) = 2r_(2) = 3r_(3) , then a/b + b/c + c/a is equal to

In a A B C ,A : B : C=3:5: 4. Then a+b+csqrt(2) is equal to a. 2b b. 2c c. 3b d. 3a

p=2a-3b,q=a-2b+c and r=-3a+b+2c , where a,b,c being non-coplanar vectors, then the vector -2a+3b-c is equal to

A library has a copies of one book, b copies each of two books, c copies each of three books, a single copy of d books. The total number of ways in which these books can be arranged in a shelf is equal to a. ((a+2b+3c+d)!)/(a !(b !)^2(c !)^3) b. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^3) c. ((a+b+3c+d)!)/((c !)^3) d. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^)