Question

if p, q, r, s are in G. P. then (q-r) ^2+(r-p) ^2+ (s-p) ^2=
​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

For p,q,r,s to be in GP , one way to write the condition is

q2=pr,r2=qs,qr=ps

Now,

((q+r)2)2−(p+q)2(r+s)2=((q+r)2−(p+q)(r+s))((q+r)2+(p+q)(r+s)) .

But

(q+r)2−(p+q)(r+s)

=q2+2qr+r2−pr−ps−qr−qs

=pr+2qr+qs−pr−ps−qr−qs=qr−ps

=0 .