How do you translate to an algebraic expression the sum of x and y, squared?

Jun 17, 2018

${x}^{2} + 2 x y + {y}^{2}$

Explanation:

First, "the sum of x and y" $= \left(x + y\right)$

Second, "squared" $= {\left(x + y\right)}^{2}$

Thus, our algebraic expression is: ${\left(x + y\right)}^{2}$

Which expands to: ${x}^{2} + 2 x y + {y}^{2}$