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PSEB-BINOMIAL THEOREM-EXERCISE
- Show that 9^(n+1) -8n -9 is divisible by 64, whenever n is a positive ...
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- Prove that sum(r=0)^n 3^r "^nCr= 4^n.
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- Find the coefficient of x^5 in (x + 3)^8
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- Find the coefficient of a^5 b^7 in (a - 2b)^12 .
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- Write the general term in the expansion of (x^2 - y)^6
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- Write the general term in the expansion of (x^2 - yx)^12 , x ne 0.
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- Find the 4th term in the expansion of (x-2y)^12.
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- Find the 13th term in the expansion of (9x-1/(3sqrtx))^18, x ne 0.
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- Find the middle terms in the expansion of:- (3- x^3/6)^7
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- Find the middle terms in the expansion of:- (x/3+9y)^10.
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- In the expansion of (1 + a)^(m+n), prove that coefficients of a^m and ...
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- The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...
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- Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...
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- Find a positive value of m for which the coefficient of x^2 in the exp...
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- Find a, b and n in the expansion of (a+b)^n if the first three terms o...
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- Find a if the coefficients of x^2 and x^3 in the expansion of (3 + ax)...
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- Find the coefficient of x^5 in the product (1 + 2x)^6 (1 -x)^7 using b...
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- If a and b are distinct integers, prove that a- b is a factor of a^n -...
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- Evaluate (sqrt3+sqrt2)^6 - (sqrt3-sqrt2)^6.
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- Find the value of (a^2+ sqrt(a^2-1))^4 + (a^2- sqrt(a^2-1))^4.
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