expand and fully simplify x(y+2)-y(x-2)
You asked:
Simplify the expression: \(x \left(y + 2\right) - y \left(x - 2\right)\)
MathBot Answer:
Simplified:
\[ x\left( y + 2 \right) - y\left( x - 2 \right) = 2 x + 2 y \]
$$\begin{aligned}x \left(y + 2\right) - y \left(x - 2\right)\\2 x + x y - y \left(x - 2\right)\\2 x + x y - - 2 y + x y\\2 x + x y + 2 y - x y\\2 x + 2 y\end{aligned}$$
Expanded:
\[ x\left( y + 2 \right) - y\left( x - 2 \right) = 2 x + 2 y \]
Factored:
\[ x\left( y + 2 \right) - y\left( x - 2 \right) = 2 \left(x + y\right) \]