\(x^2-16+2\left(x+4\right)\)
\(=\left(x+4\right)\left(x-4\right)+2\left(x+4\right)\)
\(=\left(x+4\right)\left(x-4+2\right)\)
\(=\left(x+4\right)\left(x-2\right)\)
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\(x^2-16+2\left(x+4\right)=x^2+2x-8=x^2-2x+4x-8\)
\(=x\left(x-2\right)+4\left(x-2\right)=\left(x+4\right)\left(x-2\right)\)
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