Using binomial theorem, expand `{(x+y)^5+(x-y)^5}dot` and hence find the value of `{(sqrt(2)+1)^5+(sqrt(2)-1)^5}dot`

Using binomial theorem, expand (x+1/y)^(11)dot

Using binomial theorem, expand [ ( x+y)^(5) + (x-y)^(5) ] and hence find the value of [ ( sqrt(3) + 1)^(5) - ( sqrt(3) - 1)^(5) ] .

By using binomial theorem, expand: (1+x+x^2)^3

Using binomial theorem expand (x^(2)+(1)/(x^(2)))^(4)

Expand (x+y)^(4)-(x-y)^(4) . Hence find the value of (3+sqrt(5))^(4) -(3-sqrt(5))^(4) .

Expand (2x + 5y)^(5)

Use binomial theorem to evaluate (10.1)^(5) .

Expand using binomial theorem: (i) (1-2x)^(4)

Using binomial theorem, write down the expansion of (2x+3y)^5

Find the value of x for which 5^(2x)-:5^(-3)=5^5dot