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Expand using Pascal's triangle : (x+y)^4...

Expand using Pascal's triangle : `(x+y)^4`

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To expand \((x+y)^4\) using Pascal's Triangle, follow these steps: ### Step 1: Identify the Row in Pascal's Triangle Since we are expanding \((x+y)^4\), we need to look at the 4th power, which corresponds to the 5th row of Pascal's Triangle (starting from row 0). ### Step 2: Write Out Pascal's Triangle The first few rows of Pascal's Triangle are as follows: ...
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MAHAVEER PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Expand using Pascal's triangle : (x+y)^4

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  2. Expand (x^2+1/x)^3

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  3. Expand (1.04)^5 by the binomial theorem and find its value to two deci...

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  4. Expand the following expression using binomial theorem and write down ...

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  5. Expand the following expression using binomial theorem and write down ...

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  6. In the expansion of (x+3y)^6, find the middle term (6/2+1)^(th)i.e.4^...

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  7. In the expansion of (2x+3y)^5, find the middle terms ((5+1)/2)^(th) te...

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  8. Find the coefficient of x^(-8) in the expansion of (x-1/(2x^2))^10

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  9. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

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  10. Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (...

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  11. Find the term independent of x in (2x^2-1/x)^12. Also write its 3^(rd)...

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  12. Evaluate : (1+sqrt7)^5+(1-sqrt7)^5

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  13. Find the middle term in the expansion of : \ (x-1/x)^(10)

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  14. Find the coefficient of a^15 in the expansion of (a^3+2/a^2)^10

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  15. If (1+x)^n=C0+C1x+C2x^2+ +Cnx^n, Prove that, C1+2C2+3C3++nCn=n.2^(n-1)...

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  16. Find the co-efficient of x^17 in (x-x^2)^10.

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  17. Find the co-efficient of 1/x in the expansion of (3/x^2-x^3/3)^8.

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  18. Expand of the expression : (2x-3)^6

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  19. Expand of the expression : (x/3+1/x)^5

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  20. Expand of the expression : (x+1/x)^6

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