If p q and re in Ap, then prove that (p+2q r) (2q+r-p) ( r +p - q) = 4 pqr.
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Given below. Proved.
Step-by-step explanation:
Since p, q and r are in AP, p+r=2q
LHS = (p+2q-r)(2q+r-p)(r+p-q)
= (p+p)(r+r)(2q-q) by using the equation p+r=2q
= 2p*2r*q=4pqr
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