anonymous
  • anonymous
Write the indicated term of the binomial expansion. (x - 2y)^10; 8th term
Mathematics
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anonymous
  • anonymous
Write the indicated term of the binomial expansion. (x - 2y)^10; 8th term
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
= 10C8 (x)^8 (-2y)^2
anonymous
  • anonymous
= 180 x^8 y^2
anonymous
  • anonymous
\[-15360 x^3 y^7\] This is the eighth term from the left where the first term is\[x^{10} \]

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anonymous
  • anonymous
\[-15360 x^3 y^7\] This is the eighth term from the left where the first term is\[x^{10} \]
anonymous
  • anonymous
and the first 1 is from the right where the 1st term is ... ?
anonymous
  • anonymous
The first term on the right is:\[+1024 y^{10} \]Counting from right to left the eighth term is:\[-960 x^7 y^3 \]

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