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System Message

[00:00:00] *** Please note: All sessions are recorded for quality control. ***

clyde (Customer)

[00:00:00] A. find the indicated term of the binomial expression
3rd (a+b)^6 12th (a-2)^14
middle two ( square root of x + square root of 3) ^5

Danielle P (Tutor)

[00:00:31] hi welcome to tutor.com ! can you please write the expression on the white board?

[00:02:28] okay, lets just do the first one okay

[00:02:30] ?

clyde (Customer)

[00:02:44] yes

Danielle P (Tutor)

[00:03:24] do you know about pascal's triangle?

clyde (Customer)

[00:04:07] uh yes

[00:04:10] i do

Danielle P (Tutor)

[00:04:29] okay, that will help us to find the third coefficient here.

[00:04:51] since we're raising a+b to a power of 6, what row of the triangle do we use?

clyde (Customer)

[00:05:08] 6th row

Danielle P (Tutor)

[00:05:29] right, so what will the expression look like?

[00:06:00] you fill in the second and third terms, do you know what they are?

clyde (Customer)

[00:06:34] 1 6 15 20 15 6 1

Danielle P (Tutor)

[00:06:56] right, so what does the second term look like?

[00:07:02] what's the coefficient?

[00:07:46] good. and what are the variables?

[00:08:25] good job clyde!

[00:08:40] now we just need one more term, and we'll have our answer, since we need the third term

[00:09:01] can you fill in what comes next?

[00:10:20] what's the coefficient of the next oone?

[00:10:29] you can type it if that is easier than the whiteboard.

clyde (Customer)

[00:11:11] 15 ( a ^4) (b^2)

Danielle P (Tutor)

[00:11:26] that's it!

[00:11:28] good job

[00:11:53] So do you understand how we just used pascal's triangle and ascending/descending exponents to get to the answer?

clyde (Customer)

[00:12:52] yeah

Danielle P (Tutor)

[00:13:07] I'll let you work the other two, then you can connect with another tutor to check your work, okay?

clyde (Customer)

[00:13:22] okay!

Danielle P (Tutor)

[00:13:29] thank you for using tutor.com !

[00:13:36] please fill out the exit survey!