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\left(0m^{2}+n\right)^{2}+\left(m-0\times 3n\right)^{2}
Multiply 0 and 2 to get 0.
\left(0+n\right)^{2}+\left(m-0\times 3n\right)^{2}
Anything times zero gives zero.
n^{2}+\left(m-0\times 3n\right)^{2}
Anything plus zero gives itself.
n^{2}+\left(m-0n\right)^{2}
Multiply 0 and 3 to get 0.
n^{2}+\left(m-0\right)^{2}
Anything times zero gives zero.
n^{2}+\left(m+0\right)^{2}
Multiply -1 and 0 to get 0.
n^{2}+m^{2}
Anything plus zero gives itself.
\left(0m^{2}+n\right)^{2}+\left(m-0\times 3n\right)^{2}
Multiply 0 and 2 to get 0.
\left(0+n\right)^{2}+\left(m-0\times 3n\right)^{2}
Anything times zero gives zero.
n^{2}+\left(m-0\times 3n\right)^{2}
Anything plus zero gives itself.
n^{2}+\left(m-0n\right)^{2}
Multiply 0 and 3 to get 0.
n^{2}+\left(m-0\right)^{2}
Anything times zero gives zero.
n^{2}+\left(m+0\right)^{2}
Multiply -1 and 0 to get 0.
n^{2}+m^{2}
Anything plus zero gives itself.