Home
Class 12
MATHS
If P and Q are the sum of odd terms and ...

If P and Q are the sum of odd terms and the sum of even terms respectively in the expansion of `(x+a)^(n)` then prove that
`4PQ=(x+a)^(2n)-(x-a)^(2n)`

Text Solution

Verified by Experts

The correct Answer is:
`rArr 4PQ = (x+a)^(2n) - (x-a)^(2n)`
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - A (VERY SHORT ANSWER TYPE QUESTIONS)|10 Videos

  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B (SHORT ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION -B (SHORT ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 7

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (LONG ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C (III. LONG ANSWER TYPE QUESTIONS) |7 Videos

Similar Questions

Explore conceptually related problems

If P and Q are the sum of odd sum terms and the sum of even terms respectively in the expansion of (x +a)^n then prove that 4PQ = (x+a)^(2n) - (x - a)^(2n)

If P and Q are the sum of odd terms and the sum of even terms respectively in the expansion of (x+a)^(n) then prove that P^(2)-Q^(2)=(x^(2)-a^(2))^(n)

If the sum of odd terms and the sum of even terms in the expansion of (x+a)^n are p and q respectively then p^2+q^2=

If the sum of odd terms and the sum of even terms in (x + a)^n are p and q respectively then 4pq =

If the sum of odd terms and the sum of even terms in (x + a)^n are p and q respectively then p^2 - q^2 =

The middle term in the expansion of (x + 1/x)^(2n) is

The sum of the coefficient in the expansion of (1 + x+x^2)^n is

If the 5th term is the term independent of x in the expansion of (x^(2//3) + 1/x)^n then n =