Question

Find the specified nth term in the expansion of the binomial. (Write the expansion in descending powers of x.)
(x - 4y)6, n = 3

Answer 1

so you want the 3rd term ?

of (x - 4y)^6

Answer 2

x^6-24*x^5*y+240*x^4*y^2-1280*x^3*y^3+3840*x^2*y^4-6144*x*y^5+4096*y^6


wouldn't it be

-1280*x^3*y^3

?

Answer 3

Yeah. Possible answers are:
A. 20x3y3
B. 240x4y2
C. 20x3y3
D. 4096y6
E. 120x3y3

Answer 4

basically do this

(x - 4y)(x - 4y)(x - 4y)(x - 4y)(x - 4y)(x - 4y)

Answer 5

240*x^4*y^2

Answer 6

oops I didn't see that

x^6 first time lol

Answer 7

x^6-24*x^5*y+240*x^4*y^2-1280*x^3*y^3+3840*x^2*y^4
1 2 (3) 4 5...

-6144*x*y^5+4096*y^6

Answer 8

So, how does that end up being one of the possible answers?

Answer 9

basically do this

(x - 4y)(x - 4y)(x - 4y)(x - 4y)(x - 4y)(x - 4y)

use binomial theorem or distribute it all out.

sort it in descending x order as your question states.

and just find the 3rd term.

Answer 10

What about the 6?

Answer 11

(x - 4y)6
^
this 6

that means multiply (x-4y) by itself 6 times

and you actually wrote it wrong it is

(x - 4y)^6 the ^ means to the power of ...

Answer 12

Sorry, my smaller raised number must have copied differently. I know it's ^

Answer 13

no need for sorries :)