Question 1134827

4w/w-3=?/(w-3)(w+6)
Solve for the ? 
<pre>{{{matrix(1,3, 4w/(w - 3), "=", "?"/(w - 3)(w + 6))}}}
The right-side of the equation shows a denominator of (w - 3)(w + 6). Matching this with the left-side denominator, we see that it needs to be multiplied by w + 6 also.
This gives us: {{{highlight_green(matrix(1,9, 4w/((w - 3)), "=", "?"/(w - 3)(w + 6), "=======>", 4w * highlight((w + 6))/((w - 3)highlight(w + 6)), "=", highlight(4w(w + 6))/(w - 3)(w + 6), or, (4w^2 + 24w)/(w^2 + 3w - 18)))}}}