Question 296694
{{{((8(x-9))/(x+2))((x+3)/((x-9)(x+3)))}}} Start with the given expression.



{{{(8(x-9)(x+3))/((x+2)(x-9)(x+3))}}} Combine the fractions.



{{{(8*highlight((x-9))*highlight((x+3)))/((x+2)*highlight((x-9))*highlight((x+3)))}}} Highlight the common terms.



{{{(8*cross((x-9))*cross((x+3)))/((x+2)*cross((x-9))*cross((x+3)))}}} Cancel out the common terms.



{{{8/(x+2)}}} Simplify.



So {{{((8(x-9))/(x+2))((x+3)/((x-9)(x+3)))}}} simplifies to {{{8/(x+2)}}}



In other words, {{{((8(x-9))/(x+2))((x+3)/((x-9)(x+3)))=8/(x+2)}}}