16-(x+2y)^2

asked by guest
on Oct 06, 2024 at 3:26 am



You asked:

Evaluate the expression: \(16 - {\left( x + 2 y \right)}^{2}\)

MathBot Answer:

Evaluated



\(\displaystyle 16 - {\left( x + 2 y \right)}^{2} = 16 - \left(x + 2 y\right)^{2} \)

Expanded

\[16 - {\left( x + 2 y \right)}^{2} = - x^{2} - 4 x y - 4 y^{2} + 16\]

Factored

\[16 - {\left( x + 2 y \right)}^{2} = - \left(x + 2 y - 4\right) \left(x + 2 y + 4\right)\]

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