(3z^5+7z^2)^2=
You asked:
Evaluate the expression: \({\left( 3 \cdot {z}^{5} + 7 \cdot {z}^{2} \right)}^{2}\)
MathBot Answer:
\[{\left( 3 \cdot {z}^{5} + 7 \cdot {z}^{2} \right)}^{2} = \left(3 z^{5} + 7 z^{2}\right)^{2}\]
Expanded
\[{\left( 3 \cdot {z}^{5} + 7 \cdot {z}^{2} \right)}^{2} = 9 z^{10} + 42 z^{7} + 49 z^{4}\]
Factored
\[{\left( 3 \cdot {z}^{5} + 7 \cdot {z}^{2} \right)}^{2} = z^{4} \left(3 z^{3} + 7\right)^{2}\]