Expansion and General terms of Binomial Theorem

The expansion by the binomial theorem of (2 x + (1)/(8) )^(10) is 1024x^(10) + 640x^(9) + ax^(8) + bx^(7) + … Calculate (iii) the value of x , for which the third ·and the fourth terms in the expansion of (2x + (1)/(8) )^(10) are equal.

Expand (x^2+2a)^5 by binomial theorem.

Expand the following by binomial theorem: (x+y)^5

Expand the following by binomial theorem: (1-x)^6

Expand the following using binomial theorem (2a + 3b)^6

Expand the following by binomial theorem: (x+ 1/x)^7

Expand the following by binomial theorem: (x/3+1/x)^5

Expand the following by binomial theorem: (1+2x+x^2)^3

Expand the following by binomial theorem: (2x-3)^6

Expand the following by binomial theorem: (1-2x)^5