Question

prove that (a+b)^2=a^2+b^2+2ab

Answer 1

Is is an identity as follows-
=>(a+b)x (a+b)=a²+ab+b²+ab
=>a²+2ab+b²
Multiply is done by distributive prooerty

Answer 2

Heya !

${(a + b)}^{2} = (a + b)(a + b) \\ \\ = a \times a + a \times b + b \times a + b \times b \\ \\ = {a}^{2} + ab + ba + {b}^{2} \\ \\ {a}^{2} + 2ab + {b}^{2} \\ \\ hence \: proved .$

Wish it helps !

:D