Answer
$x^{2}+6x-16$
Work Step by Step
Using FOIL (First Outer Inner Last) method, we have
$(x+8)(x-2)=(x)(x)+(x)(-2)+(8)(x)+(8)(-2)$
$=x^{2}-2x+8x-16$
$=x^{2}+6x-16$
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