20x^9-40x^7+25x^5/-5x^5

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20x^9 - 40x^7 + 25x^5             -5x^5Pull a 5 out of everything, like this:5(4x^9 - 8x^7 + x^5)           5(-x^5)The 5's cancel, leaving you with..(4x^9 - 8x^7 + x^5)           -x^5Now pull out some x's. In the numerator, the lowest degree of x is 5, so we will pull out an x^5.x^5(4x^4 - 8x^2 + 1)              -1(x^5)Conveniently, x^5 cancels on top and bottom, leaving you with..(4x^4 - 8x^2 + 1)           -1Hope this helps!