Question

How do I solve this problem?

Answer 1

4x⁻¹

Explanation:

4x + 20 25 - x²

_______ ÷ _______ ↷

x² - 5x [x - 5]²

4[x + 5] [-5 + x][5 + x]

_______ ÷ _______

x[x - 5] [x - 5][x - 5]

So what we did here was factor out ALL the Greatest Common Factors [GCFs] in each denominator and numerator, and since we are dividing vertically AND horizontally, according to this, ALL [x - 5] and [x + 5] cancel each other out and all you are left with is this:

4x⁻¹

OR

`(4)/(x)`

This, according to the Negative Exponential Rule [Reverse], is how you rewrite it as a fraction. You bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:

b⁻ⁿ = 1\bⁿ

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.