Calculate: $$0\times1^{2}+1\times2^{2}+2\times3^{2}+\cdots+23\times24^{2}$$. 
Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1²+2²+3²+......+n²=1/6n(n+1)(n+2) Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)² Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers