Home
Class 11
MATHS
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.

Text Solution

AI Generated Solution

To find the expansion of \((3x^2 - 2ax + 3a^2)^3\) using the binomial theorem, we can treat it as a binomial expansion by grouping terms. Here’s a step-by-step solution: ### Step 1: Identify the terms We can rewrite the expression as: \[ (3x^2 + (3a^2 - 2ax))^3 \] Let \(t = 3x^2\) and \(u = 3a^2 - 2ax\). Therefore, we need to expand \((t + u)^3\). ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT|Exercise EXERCISE 8.2|6 Videos
  • BINOMIAL THEOREM

    NCERT|Exercise EXERCISE 8.1|14 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise EXERCISE 5.4|6 Videos

Similar Questions

Explore conceptually related problems

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

Find the binomial expansion of (1+x)^(-2)

Expand (2x+7)^(5) by using binomial theorem

Expand (2x-3y)^(4) by binomial theorem.

Expand (x^(2)+2a)^(5) by binomial theorem.

Find the coefficient of x^(4) in the product (1+2x)^(4)(2-x)^(5) by using binomial theorem.

Find the coefficient of x^(4) in the expansion of (3x^(2)+2x)/((x^(2)+2)(x-3)) specifying the region which the expansion is valid.

Find the coefficients of x^(4) in (1 - x)^(2) (2 + x)^(5) using binomial theorem.

Expand (2a - (3)/(b))^(5) by binomial theorem

Expand (1- x +x^2) ^(4) using binomial expansion.