Question 557579
{{{(x^2-64)/(x+8)}}} Start with the given expression.



{{{((x+8)(x-8))/(x+8)}}} Factor the numerator using the difference of squares formula



{{{(highlight((x+8))(x-8))/(highlight((x+8)))}}} Highlight the common terms.



{{{(cross((x+8))(x-8))/(cross((x+8)))}}} Cancel out the common terms.



{{{x-8}}} Simplify 



So {{{(x^2-64)/(x+8)}}} simplifies to {{{x-8}}}



In other words, {{{(x^2-64)/(x+8)=x-8}}} for all values of x except {{{x<>-8}}}


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