Question 56585
x squared + 5x + 4 OVER (x + 3)squared DIVIDED BY x + 1 OVER x squared minus 9
:
This is how I see this expression, however, it's not an equation, so we can't solve it, just simplify and do the math:
{{{(x^2 + 5x + 4)/((x + 3)^2)}}} / {{{(x + 1)/(x^2 - 9)}}}
:
Remember when we are dividing fractions; invert the divisor and multiply:
{{{(x^2 + 5x + 4)/((x + 3)^2)}}} * {{{(x^2 - 9)/(x + 1)}}}

:
Factor everything that we can:
{{{((x + 1)(x + 4))/((x + 3)(x + 3))}}} * {{{((x-3)(x+3))/(x+1)}}}
:
Cancel: (x+1) and (x+3)
{{{(x + 4)/(x + 3)}}} * {{{(x-3)/1}}} = {{{((x + 4)(x-3))/(x + 3)}}}