SOLUTION: find the specified term in the expansion of the binomial. 1. (x^2 y^3 + 1/xy)^11 , 7th term. 2.(b^2 x + c^3 y^2)^19 , middle term.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find the specified term in the expansion of the binomial. 1. (x^2 y^3 + 1/xy)^11 , 7th term. 2.(b^2 x + c^3 y^2)^19 , middle term.      Log On


   

Question 624213: find the specified term in the expansion of the binomial.
1. (x^2 y^3 + 1/xy)^11 , 7th term.
2.(b^2 x + c^3 y^2)^19 , middle term.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

find the specified terms in the expansion of the polinomial.

(x^2y^3 + 1/xy)^11  , 7th term

  11C6%2A%28x%5E2y%5E3%29%5E5%281%2Fxy%29%5Ehighlight%286%29+=+462x%5E4y%5E9

2.(b^2 x + c^3 y^2)^19 , middle term.  

(20 terms, thus 2 middle terms, 10th and 11th terms)

 19C9%28b%5E2x%29%5E10%28c%5E3y%5E2%29%5Ehighlight%289%29   and  19C10%28b%5E2x%29%5E9%28c%5E3y%5E2%29%5Ehighlight%2810%29