(5+z)²+2z(5+2z)
You asked:
Evaluate the expression: \({\left( 5 + z \right)}^{2} + 2 \cdot z \cdot \left(5 + 2 z\right)\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( 5 + z \right)}^{2} + 2 \cdot z \cdot \left(5 + 2 z\right) = 2 z \left(2 z + 5\right) + \left(z + 5\right)^{2} \)
Expanded
\[{\left( 5 + z \right)}^{2} + 2 \cdot z \cdot \left(5 + 2 z\right) = 5 z^{2} + 20 z + 25\]
Factored
\[{\left( 5 + z \right)}^{2} + 2 \cdot z \cdot \left(5 + 2 z\right) = 5 \left(z^{2} + 4 z + 5\right)\]