Asked by henro
find term independent of y in expansion of,[x^4÷y^3+y^2÷2x]^10
Answers
Answered by
Steve
If you consider that LCM(2,3)=6
a = x^4/y^3
b = y^2/2x
You want terms of the form
a^2b^3 or a^4b^6, ...
Since we have a 10th power expansion, the exponents must add to 10, so we are looking for a^4b^6. That is, the 5th term:
C(10,4) a^4 b^6
= 210 x^16/y^12 y^12/64x^6
= (105/32) x^10
a = x^4/y^3
b = y^2/2x
You want terms of the form
a^2b^3 or a^4b^6, ...
Since we have a 10th power expansion, the exponents must add to 10, so we are looking for a^4b^6. That is, the 5th term:
C(10,4) a^4 b^6
= 210 x^16/y^12 y^12/64x^6
= (105/32) x^10
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.