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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- If |x|<1, then find the coefficient of x^n in the expansion of (1+x+x^...
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- If |x|>1, then expand (1+x)^(-2)dot
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- Find the cube root of 217, correct to two decimal places.
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- Find the coefficient of x^2 in (a/(a+x))^(1//2)+(a/(a-x))^(1//2)
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- Prove that ^10 C1(x-1)^2-^(10)C2(x-2)^2+^(10)C3(x-3)^2+-^(10)C(10)(x-1...
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- If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the...
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- Prove that sum(r=0)^n r(n-r)(^nC r)^2=n^2(^(2n-2)Cn)dot
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- Prove that 1-^n C1(1+x)/(1+n x)+^n C2(1+2x)/((1+n x)^2)-^n C3(1+3x)/((...
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- Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot
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- The number of terms in the expansion of (a+b+c)^n , where n in Ndot
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- Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x...
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- Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot
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- Find the coefficient of x^k in1+(1+x)+(1+x)^2++(1+x)^n(0lt=klt=n)dot
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- Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//...
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- If aa n db are distinct integers, prove that a-b is a factor of a^n-b^...
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- Find the a ,b ,a n dn in th expansion of (a+b)^n if the first three te...
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- Find the coefficient of x^(25) in expansion of expression sum(r=0)^(50...
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- If the sum of the coefficients of the first, second, and third terms ...
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- If p+q=1, then show that sum(r=0)^n r^2^n Crp^r q^(n-r)=n p q+n^2p^2do...
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- If (18 x^2+12 x+4)^n=a0+a(1x)+a2x2++a(2n)x^(2n), prove that ar=2^n3^r(...
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