Question 198018


{{{(x^2+2x-8)/(x-2)}}} Start with the given expression.



{{{((x+4)(x-2))/(x-2)}}} Factor {{{x^2+2x-8}}} to get {{{(x+4)(x-2)}}}.



{{{((x+4)highlight((x-2)))/(highlight((x-2)))}}} Highlight the common terms. 



{{{((x+4)cross((x-2)))/(cross((x-2)))}}} Cancel out the common terms. 



{{{x+4}}} Simplify. 



So {{{(x^2+2x-8)/(x-2)}}} simplifies to {{{x+4}}}.



In other words, {{{(x^2+2x-8)/(x-2)=x+4}}} where {{{x<>2}}}