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The number of terms in the expansion of `(1+x)^(101) (1+x^2-x)^(100)` in powers of x is

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  6. In the expansion of (1+x)^(50), find the sum of coefficients of odd po...

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  7. If (1+x-2x^2)^6=1+a1x+a2x^(2)++a(12)x^(12), then find the value of a2+...

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  8. If the middle term in the binomial expansion of (1/x+xsinx)^(10) is eq...

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  9. Find the sum C0+3C1+3^2C2++3^n Cndot

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  10. If (1+x)^n=sum(r=0)^n Cr x^r , then prove that C1+2C2+3C3+....+n Cn=n2...

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  11. If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...

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  12. If (1+x+x^2)^n=a0+a1x+a2x^2++a(2n)x^(2n), find the value of a0+a3+a6+...

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  14. Prove that ^n C0+^n C3+^n C6+=1/3(2^n+2cos((npi)/3)) .

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  19. Let n be an odd natural number greater than 1. Then , find the number...

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