Ask a New Question

Question

find term independent of y in expansion of,[x^4÷y^3+y^2÷2x]^10
9 years ago

Answers

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
9 years ago

Related Questions

Find two linearly independent power series solutions to the diffrential equation. State the first 3... Find the independent clauses and the dependent clauses.Write wether it is complex or compound-comple... How to find independent and dependent variables find the term independent of x in the expansion of (2+x^2)^6 (1-3/x^2)^2 Find the independent and dependent clauses of each sentence and place the correct comma(s). Uncle C... Determine the term independent of x in the expansion of (3/x^2+2x)^6 Find the term independent of y in the expansion (x^4/y^3+y^2/2x)^10 Find the term independent of x in the expansion of 100 4 3 2      x x Find the term independent of x in the expansion of (x^4-2/3x)^100 Find the term independent of x[4x^3-2\x^2]^5
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use