\(2a\left(x+2\right)+a^2\left(-x-2\right)\)
\(=2a\left(x+2\right)-a^2\left(x+2\right)\)
\(=\left(x+2\right).\left(2a-a^2\right)=\left(x+2\right).a.\left(2-a\right)\)
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\(2a\left(x+2\right)+a^2\left(-x-2\right)=2a\left(x+2\right)+a^2\left(x+2\right)\)
\(=\left(2a+a^2\right)\left(x+2\right)\)
\(=a\left(2+a\right)\left(x+2\right)\)