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Use the binomial theorem to answer this question for:  (2x5 -1/9y4)5

 

(a)   Show the summation notation equation (with the correct value plugged in for n) used to express the expansion

(b)   Using the equation you wrote in part a, use it to determine the third term of this expansion (show work)?

 

**Please Show All Work** Thx

 Nov 23, 2020
 #1
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(a)

 

 5

 Σ C(5,n)  * (2x^5)^(5-n) *  [ (-1/9)y^4 ] ^(n)

n = 0

 

(b)

 

C(5, 2)  * (2x^5)^3  *  [ (-1/9)y^4]^2   =    10 * 8x^15  * (1/81)*y^8   =   80 x^15  y^8  / 81

 

 

cool cool cool

 Nov 23, 2020

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