Question 1059713
rewrite the rational expression as an equivalent rational expression with the given denominator

x/x^3+7x^2+12x=?/x(x+5)(x+3)(x+4)
<pre>{{{matrix(1,3, x/(x^3 + 7x^2 + 12x), "=", "?"/(x(x + 5)(x + 3)(x + 4)))}}}
{{{matrix(1,3, x/(x(x + 3)(x + 4)), "=", "?"/(x(x + 5)(x + 3)(x + 4)))}}} -------------- Factoring left denominator
{{{matrix(1,3, x * highlight((x + 5))/(x * highlight((x + 5))(x + 3)(x + 4)), "=", "?"/(x(x + 5)(x + 3)(x + 4)))}}} ----- The binomial: "x + 5" is needed in the LEFT-DENOMINATOR to be equivalent to the right-denominator. It MUST be included in the LEFT-NUMERATOR as well
{{{highlight_green(matrix(1,3, x * highlight((x + 5))/(x * highlight((x + 5))(x + 3)(x + 4)), "=", highlight(x(x+ 5))/(x(x + 5)(x + 3)(x + 4))))}}} ---- Equivalency is NOW obtained