(2u + v)^2 + (u-v)(2u-v)

asked by guest
on Nov 21, 2024 at 2:12 am



You asked:

Evaluate the expression: \({\left( 2 u + v \right)}^{2} + \left(u - v\right) \cdot \left(2 u - v\right)\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( 2 u + v \right)}^{2} + \left(u - v\right) \cdot \left(2 u - v\right) = \left(2 u - v\right) \left(u - v\right) + \left(2 u + v\right)^{2} \)

Expanded

\[{\left( 2 u + v \right)}^{2} + \left(u - v\right) \cdot \left(2 u - v\right) = 6 u^{2} + u v + 2 v^{2}\]

Factored

\[{\left( 2 u + v \right)}^{2} + \left(u - v\right) \cdot \left(2 u - v\right) = 6 u^{2} + u v + 2 v^{2}\]

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