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Find the constant term in the expansion of (10x^3 - 1/(2x))^4.

 Dec 28, 2020

Best Answer 

 #1
avatar+117 
+2

I think this is supposed to be :

 

\(( 10x^3  -   1 / (2x^2)  ) ^5\)

 

The constant term is :

 

\(- C(5, 3) \cdot (10x^3)^2 \cdot (\frac{1}{2x^2})^3  =\)
\(-10 \cdot (100 x^6) \cdot (\frac{1}{8x^6} )  =\)

\(- [10 \cdot \frac{100}{8}]  \cdot (\frac{x^6}{x^6})  =\)

\(- 125\)

Credit to CPhill; https://web2.0calc.com/questions/find-the-constant-term-in-the-expansion-of-10x-3-1-2x-2-5#r1

 

P.S. I changed up CPhill's answer a little, so please give me a little credit also!

 Dec 28, 2020
 #1
avatar+117 
+2
Best Answer

I think this is supposed to be :

 

\(( 10x^3  -   1 / (2x^2)  ) ^5\)

 

The constant term is :

 

\(- C(5, 3) \cdot (10x^3)^2 \cdot (\frac{1}{2x^2})^3  =\)
\(-10 \cdot (100 x^6) \cdot (\frac{1}{8x^6} )  =\)

\(- [10 \cdot \frac{100}{8}]  \cdot (\frac{x^6}{x^6})  =\)

\(- 125\)

Credit to CPhill; https://web2.0calc.com/questions/find-the-constant-term-in-the-expansion-of-10x-3-1-2x-2-5#r1

 

P.S. I changed up CPhill's answer a little, so please give me a little credit also!

cryptoaops Dec 28, 2020
 #2
avatar+117576 
+1

LOL!!!!....I  gave you a  point, cryptoaops   !!!

 

 

cool cool cool

CPhill  Dec 28, 2020
 #3
avatar+117 
+1

Thank you!

cryptoaops  Dec 28, 2020

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