[10,20] is a Problem!

Algebra Level 4

Sn=r=1n[(r10)(r20)] \displaystyle S_n = \sum _{ r=1 }^{ n }{ \big[(r-10)(r-20) \big] }

Given the above function of SnS_n , what does the summation below equal to?

r=150(r10)(r20)\displaystyle \sum _{ r=1 }^{ 50 } \big|(r-10)(r-20)\big|

Image Credit: Wikimedia Cubix by Dohduhdah
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