Question

Solve (2a^x + 1/2b^x)^2

Answer 1

guy above me has answer

Explanation:

Answer 2

`(4a^(2x) )+2a^(x) b^(x) + (b^(2x) )/(4)`

Explanation:

The given equation is

`(2a^x + (1)/(2)b^(x) } )^2` ...........(i)

we know the formula i.e.

`(a+b)^(2)= a^(2)+ b^(2) +2(a)(b)`

Applying this formula on equation (i) gives

=
`(2a^(x) )^(2) +((1)/(2))^(2)*(b^(x) )^(2) + 2 (2a^(x) )((1)/(2) b^(x))`

Opening the sqaure gives and canceling
`(1)/(2)` with 2 gives us

=
`4a^(2x) + (1)/(4)b^(2x) + 2a^(x)b^(x)`

=
`(4a^(2x) )+2a^(x) b^(x) + (b^(2x) )/(4)`

which is the answer