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\left(0m-0\times 5n\right)\left(0\times 5n+0\times 2m\right)
Multiply 0 and 2 to get 0.
\left(0-0\times 5n\right)\left(0\times 5n+0\times 2m\right)
Anything times zero gives zero.
\left(0-0n\right)\left(0\times 5n+0\times 2m\right)
Multiply 0 and 5 to get 0.
\left(0-0\right)\left(0\times 5n+0\times 2m\right)
Anything times zero gives zero.
0\left(0\times 5n+0\times 2m\right)
Subtracting 0 from itself leaves 0.
0\left(0n+0m\right)
Multiply 0 and 5 to get 0. Multiply 0 and 2 to get 0.
0\left(0+0m\right)
Anything times zero gives zero.
0\left(0+0\right)
Anything times zero gives zero.
0\times 0
Add 0 and 0 to get 0.
0
Multiply 0 and 0 to get 0.