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

PLEASE HELPPPPP!!!!!!!!! (show work if you can)-example-1
User PromInc
by
7.3k points

2 Answers

5 votes

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

User Fsimon
by
8.2k points
6 votes

Answer:


180x^4y^3z^2

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}

User Funkju
by
8.3k points

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