Home
Class 11
MATHS
Find (a+b)^4-(a-b)^4. Hence, evaluate (s...

Find `(a+b)^4-(a-b)^4`. Hence, evaluate `(sqrt(3)+sqrt(2))^4-(sqrt(3)-sqrt(2))^4`.

Text Solution

AI Generated Solution

To solve the problem, we need to find the expression \((a+b)^4 - (a-b)^4\) and then evaluate \((\sqrt{3} + \sqrt{2})^4 - (\sqrt{3} - \sqrt{2})^4\). ### Step-by-Step Solution: 1. **Use the Binomial Theorem**: According to the Binomial Theorem, we can expand \((a+b)^4\) and \((a-b)^4\): \[ (a+b)^4 = \sum_{k=0}^{4} \binom{4}{k} a^{4-k} b^k ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT|Exercise SOLVED EXAMPLES|17 Videos
  • BINOMIAL THEOREM

    NCERT|Exercise EXERCISE 8.2|6 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise EXERCISE 5.4|6 Videos

Similar Questions

Explore conceptually related problems

Find (a+b)^4-(a-b)^4 . Hence, evaluate (sqrt3+sqrt2)^4-(sqrt3-sqrt2)^4 .

(3sqrt(2)-sqrt(3))(4sqrt(3)-sqrt(2))

Evaluate (sqrt(7)+sqrt(2))+(sqrt(4)+sqrt(7))

Evaluate: sqrt(3+4sqrt(-7))

Find (x+a)^(3)-(x-a)^(3) . Hence evaluate (sqrt(5)+sqrt(4))^(3)-(sqrt(5)-sqrt(4))^(3)

Evaluate sqrt(4+3sqrt(-20))+sqrt(4-3sqrt(-20)) .

Evaluate 2[4(sqrt(3))^3.sqrt(2)+4(sqrt(2))(sqrt(3))^3]

Evaluate: sqrt(1+4sqrt(-3))

Evaluate sqrt(4)+sqrt(4)+sqrt(4)

Find (1+x)^(4) + (1-x)^(4) . Hence evaluate (sqrt2+1)^(4) + (sqrt2-1)^(4)