Question

For the following values of a, b and c, verify that (a x b) x c = a x ( b x c). a.) a. = 1upon 3, b. =-3 upon 4, c. = - 8 upon 9​

Answer 1

For the following values of a, b and c, verify that (a x b) x c = a x ( b x c). a.) a. = 1upon 3, b. =-3 upon 4, c. = - 8 upon 9....❓❓

⭐Proof ⭐

➡Given value

a = 1/3 ,b = -3/4 , c = -8/9

✔Take here RHS......

a×(b×c)

= 1/3×(-3/4 × -8/9)

= 1/3 × ( 2/3)

= 2/9

✔Now, take LHS

(a×b)×c

= (1/3 × -3/4 )×-8/9

=-1/4 × -8/9

= -2/9

so,

LHS = RHS

✨Thats Proved ✨

Answer 2

SOLUTION:-

Given value,

$a = \frac{1}{3} \\ \\ b = - \frac{3}{4} \\ \\ c = - \frac{8}{9}$

Verify that,

(a×b)×c= a× (b×c)

$( \frac{1}{3} \times - \frac{3}{4}) \times - \frac{8}{9} = \frac{1}{3} \times ( - \frac{3}{4} \times - \frac{8}{9} ) \\ \\ = > - \frac{3}{12} \times - \frac{8}{9} = \frac{1}{3} \times ( \frac{24}{36} ) \\ \\ = > \frac{24}{108} = \frac{24}{108} \: \: \: \: \: [verified]$

hope it helps ☺️