Math, asked by mitalisingh802, 1 year ago

If p,q and r are in AP,then prove that (p+2q-r)(2q+r-p)(r+p-q) = 4pqr

Answers

Answered by AJThe123456
12
Heyy mate ❤✌✌❤

Here's your Answer....

⤵️⤵️⤵️⤵️⤵️⤵️⤵️

Since, They are in same A.P.

Therefore, Common Difference (d) will be same .

=> q - p = r - q

=> 2q = r + p

Now,

=> (p + 2q+ r) (2q+r-p)(r+p-q)

=>(p + r + p- r) ( r + p + r -p) ( r+ p- q)

=> (2p) × 2r × ( 2q - q)

=> 2p × 2r × q

=> 4pqr.
✔✔✔

mitalisingh802: Thanks yr
mitalisingh802: :)
AJThe123456: wlcm
Similar questions