Question 303308
{{{((x-3)/(5(x+4)))((4(x+4))/(x-3))}}} Start with the given expression.



{{{(4(x-3)(x+4))/(5(x+4)(x-3))}}} Combine the fractions.



{{{(4*highlight_green((x-3))*highlight((x+4)))/(5*highlight((x+4))highlight_green((x-3)))}}} Highlight the common terms.



{{{(4*cross((x-3))*cross((x+4)))/(5*cross((x+4))cross((x-3)))}}} Cancel out the common terms.



{{{4/5}}} Simplify



So {{{((x-3)/(5(x+4)))((4(x+4))/(x-3))}}} simplifies to {{{4/5}}}



In other words, {{{((x-3)/(5(x+4)))((4(x+4))/(x-3))=4/5}}} where {{{x<>-4}}} or {{{x<>3}}}