uv^2(7u^5v^2+3u^3v^4)
You asked:
Evaluate the expression: \(u {v}^{2} \left(7 {u}^{5} {v}^{2} + 3 {u}^{3} {v}^{4}\right)\)
MathBot Answer:
Evaluated
\(\displaystyle u {v}^{2} \left(7 {u}^{5} {v}^{2} + 3 {u}^{3} {v}^{4}\right) = v^{2} u \left(7 u^{5} v^{2} + 3 u^{3} v^{4}\right) \)
Expanded
\[u {v}^{2} \left(7 {u}^{5} {v}^{2} + 3 {u}^{3} {v}^{4}\right) = 7 u^{6} v^{4} + 3 u^{4} v^{6}\]
Factored
\[u {v}^{2} \left(7 {u}^{5} {v}^{2} + 3 {u}^{3} {v}^{4}\right) = u^{4} v^{4} \cdot \left(7 u^{2} + 3 v^{2}\right)\]