Find the LCM z^3+6z^2+9z,z^2-6z

Find the LCM    z^3+6z^2+9z,z^2-6z
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1 Answer

We will start off by factorising both terms into their factors.

z^3 + 6z^2 + 9z
= z(z^2 + 6z + 9)
= z(z + 3)(z + 3)

z^2 - 6z
= z(z - 6)

Hence, the lowest common multiple will be z(z - 6)(z + 3)(z + 3), since z was the only common factor of the two terms besides 1.
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