The result that we have acquired is still an improper fraction based from the sequence on how the polynomials are given. There are three division bars in the given statement:
[tex] \frac{4x^2 + 12x -16}{ \frac{2x10}{ \frac{6x+24}{x^2+9x+10} } } [/tex]
What I did is I combined the 1st and 3rd, over the combination of the 2nd and 4th line.
[tex] \frac{(4x^2+12x-16)(6x+24)}{(2x+10)(x^2+9x+20)} [/tex]
and I factored out what is similar in the given polynomials:
[tex] \frac{4(x+4)(x-3)6(x+4)}{2(x+5)(x+4)(x+5)} [/tex]
And cancelled necessary cancellations:
[tex]12 \frac{(x+4)(x-3)}{(x+5)(x+5)} [/tex]
So our final answer would be:
[tex]12 (\frac{x^2+3x-4}{x^2+10x+25} )[/tex]
