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Simplify The Following

Simplify the following as much as possible. ?

It will help the answerers if you make your mathematical notation clear. I know that it is a pain with this text-only interface. Nevertheless... you will get your answers sooner if you make your questions clear.

We will guess that what you mean is

(-8x^7*y^(-8)*z^(-9))^3

If that is the case, use the algebra identities

(xy)^a = x^a*y^a

and

(x^a)^b = x^(a*b)

so we have

(-8)^3*(x^7)^3*(y^(-8))^3*(z^(-9))^3

= -512*x^21*y^(-24)*z^(-27)

Simplify the following...?

2pr - 4ps + qr - 2qs
= (2pr - 4ps) + (qr - 2qs)
= 2p(r - 2s) + q(r - 2s)
= (r - 2s)(2p + q)

How would simplify the following expression: 4a -3b -5+ 3a +3b +3?

4a - 3b - 5 + 3a + 3b + 3Let’s start easy.There’s a -5 and a +3 in there. What’s -5+3?-2Next, we’ll go with the b’s.-3b and +3bWhat’s -3+3?0. So we have 0b’s.Now the a’s.+4a and +3aWhat’s 4+3?7. So we have 7 a’s.Now add all the results into a single equation.7a+0b-2Or7a-2

How would simplify the following expression: -5x -6y -5 + 3y +4x + 3?

I would tackle the x’s first so, combine all of your x values-5x + 4x is -1x or just: -xThen I would start with the y-values.-6y + 3y would be: -3yAnd finally, you can combine all of your “normal” values without any attachmentsThis would mean your -5 and 3-5 + 3 is: -2Finally you can combine all of these into one equation:-x - 3y - 2Since it’s all negative, you might just want to make things easier and go with(-1) x + 3y + 2 (but that’s just my opinion. You should still double check all of your answers!)

How can I simplify the following sentence?

If you are just going for a simple summary, here is what I've come up with:Following the recent Amtrak derailing tragedy, many have taken a stance against using it as a means of transportation and even questioned its necessity in our society. Despite the dangers of using the service and the few accidents that have occurred in the past, the train industry in the United States has proven to be not only highly efficient but also historically symbolic of how far our nation has come. Essayist and historian, the late Tony Judt once described trains "as symbols of the public good, trains as a triumph of the liberal imagination, trains as the 'symbol and symptom of modernity,' and modernity at its best." In a sense, to do away with the train systems, something that many believe should be done, would force a divide between the lives of civilians.

How do I simplify the following expression (3i+4)-i+4 (6+2i)?

10i+28

Simplify the following expression. ?

(2x + x - 30)/ (x+6) = 3x-5

How would you simplify the following: [math]\frac{3 \sqrt{5} - 5}{2 \sqrt{5}}[/math]?

Due to lack of parantheses, there are two meanings of this question:[math]\frac {3\sqrt 5-5}{2\sqrt 5}[/math][math]= \frac 32 - \frac{\sqrt 5}{2}[/math][math]= \frac {3-\sqrt 5}2[/math]Another interpretation is:[math]3\sqrt 5 - \frac 5{2\sqrt 5}[/math][math]= 3 \sqrt 5 - \frac {\sqrt 5}{2}[/math][math]= \frac {5\sqrt 5}{2}[/math]EDIT: the second interpretation is not valid anymore because the question specifies which interpretation.

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