Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Grazes
Group Title
Find the term that is a constant in the binomial expansion of...
 one year ago
 one year ago
Grazes Group Title
Find the term that is a constant in the binomial expansion of...
 one year ago
 one year ago

This Question is Closed

Grazes Group TitleBest ResponseYou've already chosen the best response.0
\[(x ^{3}\frac{ 2 }{ x ^{2} })^{5}\]
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
What's your plan?
 one year ago

Grazes Group TitleBest ResponseYou've already chosen the best response.0
\[\left(\begin{matrix}5 \\ U\end{matrix}\right)(x ^{3})^{nU}(\frac{ 2 }{ x ^{2} })^{U}\]
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
Perfect. Now, were is \((x^{3})^{nU}\cdot\left(\dfrac{1}{x^{2}}\right)^U = x^{0}\)
 one year ago

Grazes Group TitleBest ResponseYou've already chosen the best response.0
\[(\frac{ x ^{2} }{ 2 })^{U}\]?
 one year ago

Grazes Group TitleBest ResponseYou've already chosen the best response.0
nvm. I got it. Is 80 right?
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
We can worry about the constants later. We just need to know which termn it is for now. \((x^{3})^{5}\cdot (x^{2})^{0} = x^{15}\) \((x^{3})^{4}\cdot (x^{2})^{1} = x^{10}\) \((x^{3})^{3}\cdot (x^{2})^{2} = x^{5}\) \((x^{3})^{2}\cdot (x^{2})^{3} = x^{0}\) \((x^{3})^{1}\cdot (x^{2})^{4} = x^{5}\) \((x^{3})^{0}\cdot (x^{2})^{5} = x^{10}\)
 one year ago

Grazes Group TitleBest ResponseYou've already chosen the best response.0
But set 3(5U)2U to zero and solve for U. Then you can plug it back in and get 80 oo
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
Fair enough. It's not perfectly clear to me what "find the term" means. Does it mean completely define it (80) or just figure out which one it is (Term #4)? Excellent work!
 one year ago

Grazes Group TitleBest ResponseYou've already chosen the best response.0
It means to find the term that is a constant, rather than a coefficient and a variable(s)
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
That doesn't clear it up at all. If you find a rock under a flower, do you necessarily know what color the rock is? What if it's dark out? It may seem a little silly, but exceptional clarity is a bit more difficult than allowing various assumptions. Let's see how it goes in this household. Mom: Steve, will you help me find my car keys? Steve: Sure. Where have you looked? M: In the kitchen and the bedroom. S: Okay, I'll go check the living room. {a few moments pass} S: Found them! M: Where were they? S: They're under the couch. {a few moments pass} M: Are you bringing the keys to me? S: You said "find" them. I found them. They're still under the couch. Maybe Steve was just being funny, but that doesn't mean Mom was being particularly clear.
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.