Question

We know that
${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$
How do we prove that?

Answer 1

its very easy
(x+y)² can be written as (x+y)(x+y)
=x²+xy+xy+y²
=x²+2xy+y²

Answer 2

taking rhs
= x^2 +2xy +y^2
=x^2+xy+xy+y^2
=x(x+y) +y(x+y)
=(x+y)(x+y)
=(x+y)^2 =lhs
proved
pls mark it as brainliest