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$$\text { Find the } 4^{\text {th }} \text { term in the expansion of }(x-2 y)^{12} \text { . }$$

Algebra

Chapter 8

Binomial Theorem

Section 2

Binomial Theorem for Positive Integral Indices

Polynomials

Campbell University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

01:58

Find the indicated term.

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Find the indicated term of…

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Find the indicated term in…

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Find the term indicated in…

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Find the term containing $…

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02:26

Find the middle term in th…

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So the question is asking the fourth term in the expansion of X- to wear to the party 12. So the general term in the expansion of A plus B to the power N. S. And they are A. To the park and minus are. And to be to the part art. So for that question we have X -2 Y. to the part 12 E. equals two x. Be physicals to -2 Y. And is equals to 12 And our is equals to three. Right? So the food will be 12 C. Three in two X. To the power 12 minus three Into -2 Y. to the power of three. So the fourth time will be let's simplify it a little bit well into 11 and two. Then upon six Into extra the part nine Into -2 to the part three into Cuba. So We can cut 12 and 602. That's 2 20 In two extra part nine In 2 -8 and two like you 20 into -8 will be minus 17 60 in two extra part nine to buy CUBA. Okay so the fourth term for the expansion of x minus two Y to the part well is -1760. Actually part 9 to like you. So this is the answer -1760. Actually Part nine. Why Cube? I hope you understand the solution. Thank you.

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