Question

Verify the property xx (y + 2) = (x + y) = z by taking
(X= 7/3, y = 12/5, z = 4/9​

Answer 1

Answer:

(i) We have, x = −73−73, y = 125125 and z

= 4949 = x x (y x z) =

−73×(125×49)−73×(125×49) =

−73(4845)−73(4845) = −11245−11245 (x x

y) x z = (−73×125)×49(−73×125)×49 =

−73(4845)−73(4845) = −11245−11245

(ii) We have, x = 0, y = −35−35 and z =

−94−94 = x x (y x z) = 0×(−35×−94)0×(−35×

−94) = 0 (x x y) x z = (0×−35)×−94(0×

−35)×−94

Step-by-step explanation:

iii) We have, x = 1212, y = 5−45−4 and z =

−75−75 = x x (y x z) = 12×(5−4×

−75)12×(5−4×−75) = 12(74)12(74) = 7878 (x

x y) x z = (12×5−4)×−75(12×5−4)×−75 =

−58(−75)−58(−75) = 7878

(iv) We have, x = 5757, y = −1213−1213

and z = −718−718 = x x (y x z) = 57×(−1213×

−718)57×(−1213×−718) = 10391039 (x x y)

x z = (57×−1213)×−78(57×−1213)×−78 =

6091(−718)6091(−718) = 1039