To verify the algebraic identity `[a+b]^2=a^2+2ab+b^2`

Explanation

`L.H.S. = (a+b)^2 = (a+b)(a+b)`

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

`= a^2+2ab+b^2 = R.H.S.`

We can verify it for `a = 2, b = 3`.

`L.H.S. = (2+3)^2 = 5^2 = 25`

`R.H.S. = 2^2+2(2)(3)+3^2 = 4+12+9 = 25`

So, `L.H.S. = R.H.S.`