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

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

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

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)}

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)}

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

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)