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2a^{2}\times 3b\times 0c\times 2b
Multiply a and a to get a^{2}.
2a^{2}\times 3b^{2}\times 0c\times 2
Multiply b and b to get b^{2}.
6a^{2}b^{2}\times 0c\times 2
Multiply 2 and 3 to get 6.
0a^{2}b^{2}c\times 2
Multiply 6 and 0 to get 0.
0a^{2}b^{2}c
Multiply 0 and 2 to get 0.
0
Anything times zero gives zero.