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Mathematics 8 Online
OpenStudy (anonymous):

if the constant term in the expansion of (kx-1/x)^4 is 24, find k. Can you give the answer and show me how to solve it please?

OpenStudy (freckles):

so when you multiply all that out you will have the constant term is 24

OpenStudy (freckles):

so I guess you know how to expand this using pascal's triangle?

OpenStudy (freckles):

if not we can straight multiply it out

OpenStudy (freckles):

\[(a+b)^4=1(a)^4+4(a)^3(b)+6(a)^2(b)^2+4(a)(b)^3+1(a)^4\]

OpenStudy (freckles):

all you really have to do is replace a with kx and b with -1/x

OpenStudy (freckles):

then figure out what term doesn't have any x's after simplifying

OpenStudy (freckles):

and that will be your constant term

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