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Exercise

$\frac{3}{2}x^{\frac{1}{2}}ce^x+\frac{5}{2}x^{\frac{3}{2}}+x^{\frac{3}{2}}ce^x$

Step-by-step Solution

1

Factor the polynomial $\frac{3}{2}\sqrt{x}ce^x+\frac{5}{2}\sqrt{x^{3}}+\sqrt{x^{3}}ce^x$ by it's greatest common factor (GCF): $\sqrt{x}$

$\sqrt{x}\left(\frac{3}{2}ce^x+\frac{5}{2}x+xce^x\right)$

Final answer to the exercise

$\sqrt{x}\left(\frac{3}{2}ce^x+\frac{5}{2}x+xce^x\right)$

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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  • Find the integral
  • Find the derivative
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  • Factor by completing the square
  • Find the roots
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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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