(m^2)^3+(3m^3)^2+(2mn)^2

asked by guest
on Jan 13, 2025 at 10:10 am



You asked:

Evaluate the expression: \({{m}^{2}}^{3} + {\left( 3 {m}^{3} \right)}^{2} + {\left( 2 m n \right)}^{2}\)

MathBot Answer:

Evaluated



\(\displaystyle {{m}^{2}}^{3} + {\left( 3 {m}^{3} \right)}^{2} + {\left( 2 m n \right)}^{2} = 10 m^{6} + 4 m^{2} n^{2} \)


Factored

\[{{m}^{2}}^{3} + {\left( 3 {m}^{3} \right)}^{2} + {\left( 2 m n \right)}^{2} = 2 m^{2} \cdot \left(5 m^{4} + 2 n^{2}\right)\]