Question

simplify:- 7 power a-b× 7 power b-c× 7 power c-a​

Answer 1

Answer:

i. (a – b) + (b – c) + (c – a)

= a – b + b – c + c – a

= a – a + b – b + c – c

= 0

ii. (a + b)(a – b) + (b – c)(b + c) + (c + a)(c –a)

We know, (a + b)(a – b) = a2 – b2, therefore

= a2 – b2 + b2 – c2 + c2 – a2

= 0