2(x+y)^2 +5(x+y)+3=
You asked:
Evaluate the expression: \(2 \cdot {\left( x + y \right)}^{2} + 5 \cdot \left(x + y\right) + 3\)
MathBot Answer:
Evaluated
\(\displaystyle 2 \cdot {\left( x + y \right)}^{2} + 5 \cdot \left(x + y\right) + 3 = 5 x + 5 y + 2 \left(x + y\right)^{2} + 3 \)
Expanded
\[2 \cdot {\left( x + y \right)}^{2} + 5 \cdot \left(x + y\right) + 3 = 2 x^{2} + 4 x y + 5 x + 2 y^{2} + 5 y + 3\]
Factored
\[2 \cdot {\left( x + y \right)}^{2} + 5 \cdot \left(x + y\right) + 3 = \left(2 x + 2 y + 3\right) \left(x + y + 1\right)\]