\(M=35\left(6^2+1\right)\left(6^4+1\right)\left(6^8+1\right)\left(6^{12}+1\right)-6^{24}\)
\(=\left(6^2-1\right)\left(6^2+1\right)\left(6^4+1\right)\left(6^8+1\right)\left(6^{12}+1\right)-6^{24}\)
\(=\left(6^4-1\right)\left(6^4+1\right)\left(6^8+1\right)\left(6^{12}+1\right)-6^{24}\)
\(=6^{24}-1-6^{24}=-1\)
\(M=\left(6^2-1\right)\left(6^2+1\right)\left(6^4+1\right)\left(6^8+1\right)\left(6^{12}+1\right)-6^{24}\)
\(=\left(6^4-1\right)\left(6^4+1\right)\left(6^8+1\right)\left(6^{12}+1\right)-6^{24}\)
\(=\left(6^8-1\right)\left(6^8+1\right)\left(6^{12}+1\right)-6^{24}\)
\(=\left(6^{16}-1\right)\left(6^{12}+1\right)-6^{24}\)
\(=6^{28}+6^{16}-6^{12}-1-6^{24}\)
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