Prove that
(5/6p - 6/5 q)² + 2pq = 25/36p² + 36/25q²
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Step-by-step explanation:
[(5/6)p-(6/5)q]^2+2pq
=[(5/6)p]^2-2(5/6)p*(6/5)q+[(6/5)q]^2+2pq
=(25/36)p^2-2pq+(36/25)q^2+2pq
=(25/36)p^2+(36/25)q^2
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