`C(10,8)+C(10,1)=`

C(10,0)+C(10,1)3+C(10,2)9+C(10,3)27+ tll 11 terms

2.^(10)C_(0)-^(10)C_(1)-^(10)C_(2)+2*^(10)C_(3)-^(10)C_(4)-^(10)C_(5)+2*^(10)C_(6)-^(10)C_(7)-^(10)C_(8) +2*^(10)C_(9)-^(10)C_(10)=

If (^(10)C_(0))/1+(^(10)C_(1))/2+(^(10)C_(2))/3+.....+(^(10)C_(10))/(11)=(2^(P)-1)/(q) then the value of (p)/(2q) is

The value of (^21C_1-^10C_1)+(^21C_2-^10C_2)+....+(^21C_(10)-^10C_(10)) is

^10(C_(0))^(2)-^(10)(C_(1))^(2)+^(10)(C_(2))^(2)-......-(^(10)C_(9))^(2)+(^(10)C_(10))^(2)=

In the expansion off (1+x)^(10)=.^(10)C_(0)+.^(10)C_(1)x+.^(10)C_(2)x^(2)+ . . .+.^(10)C_(10)x^(10) , then value of 528[(.^(10)C_(0))/(2)-(.^(10)C_(1))/(3)+(.^(10)C_(2))/(4)-(.^(10)C_(3))/(5)+ . . .+(.^(10)C_(10))/(12)] is equal to________.

In the expansion off (1+x)^(10)=.^(10)C_(0)+.^(10)C_(1)x+.^(10)C_(2)x^(2)+ . . .+.^(10)C_(10)x^(10) , then value of 528[(.^(10)C_(0))/(2)-(.^(10)C_(1))/(3)+(.^(10)C_(2))/(4)-(.^(10)C_(3))/(5)+ . . .+(.^(10)C_(10))/(12)] is equal to________.

Prove that :^(10)C_1(x-1)^2-^(10)C_2(x-2)^2+^(10)C_3(x-3)^2 .....-^(10)C_(10)(x-10)^2=x^2

Prove that ^10C_(1)(x-1)^(2)-^(10)C_(2)(x-2)^(2)+^(10)C_(3)(x-3)^(2)+...-^(10)C_(10)(x-10)^(2)=

Prove that ^10 C_1(x-1)^2-^(10)C_2(x-2)^2+^(10)C_3(x-3)^2+-^(10)C_(10)(x-10)^2=x^2