`(5a-7b)^(3)+(9c-5a)^(3)+(7b-9c)^(3)`

(5a-7b)^3+(7b-9c)^3+(9c-5a)^3

If a+b+c=27 then (a-7)^(3)+(b-9)^(3)+(c-11)^(3)-3(a-7)(b-9)(c-11)=

The value of 2a^(3)-[3a^(3)+4b^(3)-{2a^(3)+(-7a^(3))}5a^(3)-7b^(3)] is (a) -11a^(3)+3b^(3)( b) 7b^(3)+3a^(3)(c)11a^(3)-3b^(3) (d) (11a^(3)+3b^(3))

Express the following as improper fractions: (a) (7)(3)/(4) (b) (5)(6)/(7) (c) (2)(5)/(6) (d) (10)(3)/(5) (e) (9) (3)/(7) (f) (8)(9)/(4)

9-1(2)/(9) of 3(3)/(11)-:5(1)/(7) of (7)/(9)=?(5)/(4)(b)8(c)8(32)/(81) (d) 9

If a : b = c : d , prove that : (i) 5a + 7b : 5a - 7b = 5c + 7d : 5c - 7d . (ii) (9a + 13b) (9c - 13d) = (9c + 13d) (9a - 13b) . (iii) xa + yb : xc + yd = b : d

(5)/(6)-:(6)/(7)xx?-(8)/(9)-:1(3)/(5)+(3)/(4)xx3(1)/(3)=2(7)/(9)(7)/(6)(b)(6)/(7)(c)1(d) None of these

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c

If A = {3, 5, 7, 9} and B = {a, b, c}, then which of the following are relations from A to B ? Give reasons for your answer. (i) R_(1) = {(3, a), (5, b), (5, c)} (ii) R_(2) = {(3, c), (9, b), (5, a)} (iii) R_(3) = {(3, c), (b, c), (7, b), (9, a)} (iv) R_(4) = {(3, b), (7, c), (c, a), (b, 9)}