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\left(0a^{3}+0b^{2}\right)\times 0\times 4a^{6}+8
Do the multiplications.
\left(0+0b^{2}\right)\times 0\times 4a^{6}+8
Anything times zero gives zero.
\left(0+0\right)\times 0\times 4a^{6}+8
Anything times zero gives zero.
0\times 0\times 4a^{6}+8
Add 0 and 0 to get 0.
0\times 4a^{6}+8
Multiply 0 and 0 to get 0.
0a^{6}+8
Multiply 0 and 4 to get 0.
0+8
Anything times zero gives zero.
8
Add 0 and 8 to get 8.