\(a,A=\left(y^3+3y^2+3y+1\right)-\left(y^3-3y^2+3y-1\right)-6\left(y^2-1\right)\\ A=y^3+3y^2+3y+1-y^3+3y^2-3y+1-6y^2+6\\ A=8\left(đpcm\right)\\ b,M=\left(3-1\right)\left(3+1\right)\left(3^2+1\right)...\left(3^{32}+1\right)\\ M=\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)...\left(3^{32}+1\right)\\ ...\\ M=\left(3^{16}-1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\\ M=\left(3^{32}-1\right)\left(3^{32}+1\right)\\ M=3^{64}-1< 3^{64}=N\)
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