(x+y)²+2(x+y)+1 is equivalent to
You asked:
Evaluate the expression: \({\left( x + y \right)}^{2} + 2 \cdot \left(x + y\right) + 1\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( x + y \right)}^{2} + 2 \cdot \left(x + y\right) + 1 = 2 x + 2 y + \left(x + y\right)^{2} + 1 \)
Expanded
\[{\left( x + y \right)}^{2} + 2 \cdot \left(x + y\right) + 1 = x^{2} + 2 x y + 2 x + y^{2} + 2 y + 1\]
Factored
\[{\left( x + y \right)}^{2} + 2 \cdot \left(x + y\right) + 1 = \left(x + y + 1\right)^{2}\]