Question

prove :
(p-1)(q-r)+(q-1)(r-p)+(r-1)(p-q)
looking for both algebraic and logical explanations

Answer 1

=0

Answer 2

i mean the above expression equal to 0

Answer 3

prove

Answer 4

are q,p and r in ap?

Answer 5

??

Answer 6

no

Answer 7

i won't be able to prove it until and unless you give me a relationship between p,q and r

Answer 8

i need a logical explanation

Answer 9

Okay hmm let me try

Answer 10

hey we can

Answer 11

aravind did you even open it

Answer 12

\[(p-1)(q-r)+(q-1)(r-p)+(r-1)(p-q)\]
\[=pq-rp-q+r+qr-pq-r+p+rp-rq-p+q=0.\]

Answer 13

Just cancel out like-terms with different signs.

Answer 14

just open it you will get zero lol

Answer 15

i knw that u needed a logical explanation involving property of cyclic