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Afina-wow [57]
3 years ago
6

PLEASE HELPPPPP!!!!!!!!! (show work if you can)

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0

Answer:

\mathrm{Factor\:}18x^4y^3z= 2\cdot \:3^2\cdot \:x^4\cdot \:y^3\cdot \:z\\\\\mathrm{Factor\:}30xy^2z^2= 2\cdot \:3\cdot \:5\cdot \:x\cdot \:y^2\cdot \:z^2\\\\\mathrm{Factor\:}12x^3y^2= 2^2\cdot \:3\cdot \:x^3\cdot \:y\\\\\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power}= 2^2\cdot \:3^2\cdot \:5\cdot \:x^4\cdot \:y^3\cdot \:z^2\\\\180x^4y^3z^2

Kryger [21]3 years ago
3 0

Answer:

180x^4y^3z^2

Step-by-step explanation:

Start by finding the LCM of the coefficients of each polynomial:

LCM(12,18,30)=180

Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term (x, y, and z). The largest term of x is x^4 in the first polynomial, so we'll take exactly that for our x term in the LCM, absolutely nothing more. Similarly, the largest term of y in any of the three polynomials is y^3 (also in the first polynomial) and the largest z term in any of the three polynomials is z^2 in the second polynomial. Thus, the LCM of all our polynomials is:

180\cdot x^4\cdot y^3\cdot z^2=\boxed{180x^4y^3z^2}

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