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Tom [10]
3 years ago
14

Multiply and simplify: 6xy3z • 3x2yx2

Mathematics
2 answers:
sweet [91]3 years ago
8 0
The simplified answer is 18x5y4z.
DIA [1.3K]3 years ago
3 0

Answer:

18x^{5}y^{4}z

Step-by-step explanation:

we have

(6xy^{3}z)(3x^{2} yx^{2})

Group terms that contain the same variable

(6*3)(x*x^{2}*x^{2})(y^{3}*y)(z)

Using

x^a\cdot x^b=x^{a+b}

(18)(x^{1+2+2})(y^{3+1})(z)

(18)(x^{5})(y^{4})(z)

18x^{5}y^{4}z

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(-\infty,0)\cup(\frac{16}{3},\infty)\\That \ is x\frac{16}{3}

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h(x)=\frac{1}{8}x^{3} -x^{2} \\\\Differentiate \ h(x) \ with \  respect \ to \ x\\h'(x)=\frac{3}{8}x^{2} -2x

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\frac{3}{8} x^{2} -2x>0\\x(\frac{3}{8}x-2)>0\\\\ When \ x0 \ (multiplication \ of \ two \ positives \ is \ positive)\\\\h'(x)>0 \ when \ x\frac{16}{3} \\\\

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