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Find the expansion of (3x^2-2a x+3a^2)^3...

Find the expansion of `(3x^2-2a x+3a^2)^3` using binomial theorem.

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We know that `(a-b)^3=a^3-3a^2b+3ab^2-b^3`
`(3x^2-2a x+3a^2)^3=[3x^2-a(2x+3a)]^3`
`=(3x^2)^3-3(3x^2)^2*a(2x-30)+3*3x^2a^2(2x-3a)^2-a^3(2x-3a)^3`
`=27x^6-27x^4a(2x-3a)+ax^2a^2(4x^2-12ax+9a^2)-a^3(8x^3-3xx4xxx^2xx3a+3xxaxxx^2xx3a+3xx2xxx9a^2-27+a^3)`
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NCERT ENGLISH-BINOMIAL THEOREM-SOLVED EXAMPLES
  1. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

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  2. The coefficients of three consecutive terms in the expansion of (1+a)...

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  3. The second, third and fourth terms in the binomial expansion (x+a)^na...

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  4. Which is larger (1. 01)^(10000000)or 10,000?

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  5. Compute (98)^5.

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  6. Expand (x^2+3/x)^4,x!=0

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  7. Find the coefficient of x^6y^3in the expansion of (x+2y)^9.

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  8. Show that the middle term in the expansion of (1+ x)^(2n) is (1.3.5…(...

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  9. Find a if the 17^(t h)and 18^(t h)terms of the expansion (2+1)^(50)are...

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  10. Using binomial theorem, prove that 6^n-5nalways leaves remainder 1 wh...

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  11. Find the term independent of x in the expansion of (3/2x^2-1/(3x))^6.

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  12. If the coefficients of a^(r-1),\ a^r a n d\ a^(r+1) in the binomial ex...

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  13. Show that the coefficient of the middle term in the expansion of (1+x...

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  14. Find the coefficient of a^4 in the product (1+a)^4(2-a)^5 using binomi...

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  15. Find the r^(t h)term from the end in the expansion of (x+a)^n.

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  16. Find the term independent of x in the expansion of (3/2x^2-1/(3x))^6.

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  17. The sum of the coefficients of the first three terms in the expansion...

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  18. If the coefficients of (r-5)^(th) and (2r-1)^(t h)terms of the expans...

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