\(a,32;128\)

\(32=2^5\)  \(128=2^7\)

\(ƯCLN\left(32;128\right)=2^5=32\:\)

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\(b,42;30\)

\(42=2.3.7\)  \(30=2.3.5\)

\(ƯCLN\left(42;30\right)=2.6=6\)

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\(c,16;32;128\)

\(16=4^2\)  \(32=2^5\)  \(128=2^7\)

\(ƯCLN\left(16;32;128\right)=2^4=16\)

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\(d,42;30;20\)

\(42=2.3.7\)  \(30=2.3.5\)  \(20=2^2.5\)

\(ƯCLN\left(42;30;20\right)=2\)

a) 32 = 2⁵

b) 175 = 5².7

c) 120 = 2³.3.5

d) 2020 = 2².5 .101

\(x^3-64=x^3-4^3=\left(x-4\right)\left(x^2+4x+16\right)\)

\(27x^3+1=\left(3x\right)^3+1^3=\left(3x+1\right)\left(9x^2-3x+1\right)\)

\(64m^3-27=\left(4m\right)^3-3^3=\left(4m-3\right)\left(16m^2+12m+9\right)\)