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#76 2013-07-22 06:44:43

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

It seems that brought my mistake!


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#77 2013-07-22 06:47:51

EbenezerSon
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Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

So, by combining them. x^2 - x + x - 1 = x^2-1. is this right Sir?


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#78 2013-07-22 06:48:51

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

The order of operations goes

"Please Excuse My Dear Aunt Sally" or PEMDAS

It says parentheses first then exponentiation so

-x^0 says do the exponentiation ( raising to a power) first and then the minus sign. so it is -1.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#79 2013-07-22 06:55:13

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

bobbym wrote:

The order of operations goes

"Please Excuse My Dear Aunt Sally" or PEMDAS

It says parentheses first then exponentiation so

-x^0 says do the exponentiation ( raising to a power) first and then the minus sign. so it is -1.

Please I am not grasping what you mean.


I know only one thing - that is that I know nothing

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#80 2013-07-22 07:00:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

You raise a number to a power before you do anything other than a parentheses. This is called the order of operations. The ^0 goes first then the - sign.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#81 2013-07-22 07:07:15

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

Errr okay. So something like. (x^2 - x + x - x^0)


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#82 2013-07-22 07:10:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

Yes, that is correct but you simplify it to

x^2 -1


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#83 2013-07-22 07:21:39

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

So know, please let factorise the denominator.


I know only one thing - that is that I know nothing

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#84 2013-07-22 07:37:09

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

Hi;

You do the denominator the same way.

Try using FOIL.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#85 2013-07-22 07:43:55

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

With the denominator I had: x^3 - 2x^2 + x.


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#86 2013-07-22 07:49:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

That is correct. When you combine the numerator and the denominator you get:

but you are not done because you can simplify further.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#87 2013-07-22 08:22:44

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

I must factorise the denominator, and here I go:


x^3 - 2x + x = 0

= x^3 - x^2 - x^2 + x = 0
= x^2(x - 1) - x(x - 1) = 0



Therefore:

(x^2 - x)(x- 1)


Numerator looks like difference of two square. There I go:

(x - 1)(x+ 1)/(x^2 - x)(x- 1) = x + 1/x^2 - x) = x + 1/ x(x - 1) . I hope I am correct.


I know only one thing - that is that I know nothing

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#88 2013-07-22 08:28:46

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

That is correct! Very good.

I know they are not stressing anymore but they are wrong. Please bracket it like this:

(x + 1)/ (x(x - 1))


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#89 2013-07-22 08:42:57

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

Do you mean you can simplify further?.


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#90 2013-07-22 08:46:50

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

Thank you very much indeed Sir!, in fact you're darling!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


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#91 2013-07-22 08:53:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

You are welcome and please call me bobbym. Good night, I need rest.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#92 2013-07-22 08:54:56

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

Thanks bobbym, I get you.


I know only one thing - that is that I know nothing

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#93 2013-07-23 00:21:40

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

Please help me solve the following, I can solve,  but the 6 has become my headache, I can't figure out how to go about the 6.

.

b)

Please, the

has square root on it.

Thanks in advance.

Son.

Last edited by EbenezerSon (2013-07-23 00:45:00)


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#94 2013-07-23 00:57:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

Hi;

Is that what you have?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#95 2013-07-23 01:33:48

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

No, the top terms are all on one platform. It was accident that I brought a space between the twenty seven and the rest.
Besides, it is 6.3^3n+3. I missed the sign for negative. I am sorry.


I know only one thing - that is that I know nothing

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#96 2013-07-23 01:36:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

Is this closer?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#97 2013-07-23 01:46:01

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

between the six and the three is multiplication sign. that is only problem.


I know only one thing - that is that I know nothing

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#98 2013-07-23 01:47:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

So this is the problem:


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#99 2013-07-23 01:55:38

EbenezerSon
Member
Registered: 2013-07-04
Posts: 451

Re: Simplify the following:

you have taken the negative sign after the six.


I know only one thing - that is that I know nothing

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#100 2013-07-23 01:57:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,242

Re: Simplify the following:

I am not following you. Can you copy the problem as it is written?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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