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Simplifying this fraction
How would I go about simplifying the following?
$$\frac{2 \times (50 – x) \times (5 – x) \times (1 – x)}{x^{2}}$$
I couldn’t seem to do anything with the first factor of $2 \times (50 – x)$ but the other parts looked like they would be simpler to simplify.
A:
You can factor out the $x^2$ in the denominator first if you want.
$$\frac{(50-x) (5-x) (1-x)}{x^2} = \frac{5-x}{x} \frac{50-x}{x} \frac{1-x}{1} $$
This will give you a smaller degree of polynomial from which you can more easily factor it out.
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