Question

if(a+b)^2=2a^2+2b^2 then show that a=b

Answer 1

$\textbf{Answer:}$

$(a + b {)}^{2} = 2 {a}^{2} + 2 {b}^{2} \\ \\ = > {a}^{2} + {b}^{2} + 2ab = 2 {a}^{2} + 2 {b}^{2} \\ \\ = > \: {a}^{2} + {b}^{2} = 2ab \\ \\ = > (a - b {)}^{2} =0 \\ \\ = > a - b = 0 \\ \\ = > a = b$

$\textbf{Hope it helps you! }$