If 4−x(1−3x)1/2+(1−x)5/3 is approximately equal to a+bx for small values of x, then (a,b)=
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Find the last two digits of the number (23)14˙
Prove that mC1nCm−mC22nCm+mC33nCm≡(−1)m−1nm˙
Find the sum of the coefficients of all the integral powers of x
in the expansion of (1+2x)40˙
find the greatest tem in the expansion of (1+4x)8˙
Find the sum of coefficients in (1+x−3x2)4163˙
then find the value of a2+a4+a6++a12˙
Prove that nC02nCn−nC12n−2Cn+nC22n−4Cn≡2n˙
Given that the 4th term in the expansion of [2+(3/8x)]10
has the maximum numerical value. Then find the range of value of x˙