Divide and simplify completely. Assume that no denominator equals zero. d^2-1/d^2-d divided by d - 1/d

1 answer:

5 0

First, you should factor both the numerator and the denominator. Since the numerator is the difference of two squares, that can be factored into (d-1)(d+1); for the denominator, you can factor out d to get d(d-1). From there, you can reduce both the numerator and denominator by (d-1) to get (d+1)/d. If you need to simplify it further, I believe you can simplify it to 1+(1/d).

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At the Butler Ski Resort, it snowed 1/2 of a foot yesterday and 1/5 of a foot today. How much more did it snow yesterday than to

barxatty [35]

It snowed $\frac{3}{10}$ foot more yesterday than today

Solution:

Given that, At the Butler Ski Resort, it snowed 1/2 of a foot yesterday and 1/5 of a foot today

From given information,

$\text{Snowed yesterday } = \frac{1}{2} \text{ foot }\\\\\text{Snowed today } = \frac{1}{5} \text{ foot }$

To find: how much more did it snow yesterday than today

So we have to find the difference between snowed yesterday and today

$\text{Difference} = \text{Snowed yesterday } - \text{ snowed today }\\\\\text{Difference} = \frac{1}{2} - \frac{1}{5}\\\\\text{Difference} = \frac{1 \times 5}{2 \times 5}-\frac{1 \times 2}{5 \times 2}\\\\\text{Difference} = \frac{5}{10}-\frac{2}{10}\\\\\text{Difference} =\frac{3}{10}$