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Katyanochek1 [597]
2 years ago
8

Simplify x^1/3(x^1/2+2x^2)

Mathematics
1 answer:
Marizza181 [45]2 years ago
6 0

Answer:

x^{5/6 } + 2\cdot x^{7/3}

Step-by-step explanation:

Let be x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2}), which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})  Given.

2) x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2}) Distributive and associative properties.

3) x^{5/6 } + 2\cdot x^{7/3} a^{m}\cdot a^{n} = a^{m+n}/Result

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1/6 + 3/8 <br> A. 4/6<br> B. 4/8 <br> C. 4/14<br> D. 13/24
Naddika [18.5K]

Here is you're answer:

In order to get you're answer you need to find the common denominator then add.

  • \frac{1}{6} + \frac{3}{8}
  • Find the common denominator:
  • CD = 48
  • = \frac{26}{48}
  • Simplify:
  • \frac{26}{48} \div 2 = \frac{13}{24}
  • = \frac{13}{24}

Therefore you're answer is option D "13/24."

Hope this helps!

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Answer:

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Step-by-step explanation:

rise over run is 2 over 3, and it is positive because the y increases as the x increases!

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Step-by-step explanation:

By Substitution

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