Answer :
R.H.S = 
[(No. of terms in L.H.S) × (No. + 1) × (2 × No. + 1)]
(i) 12 + 22 + 32 + 42 + …… + 102 = 
[10 (10 + 1) × (2 × 10 + 1)]
= 
[2310]
= 385
(ii) 52 + 62 +….. + 122 = 12 + 22 + ….. 122 – (12 + 22 + 33 + 42)
= 
[12 × (12 + 1) × (2 × 12 + 1)] - 
[4 ×(4 + 1) × (2 × 4 + 1)]
= 650 – 30
= 620
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