Simplify the following:

EbenezerSon · 2013-07-22 06:44:43

It seems that brought my mistake!

EbenezerSon · 2013-07-22 06:47:51

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

bobbym · 2013-07-22 06:48:51

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.

EbenezerSon · 2013-07-22 06:55:13

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.

bobbym · 2013-07-22 07:00:12

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.

EbenezerSon · 2013-07-22 07:07:15

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

bobbym · 2013-07-22 07:10:11

Yes, that is correct but you simplify it to

x^2 -1

EbenezerSon · 2013-07-22 07:21:39

So know, please let factorise the denominator.

bobbym · 2013-07-22 07:37:09

Hi;

You do the denominator the same way.

Try using FOIL.

EbenezerSon · 2013-07-22 07:43:55

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

bobbym · 2013-07-22 07:49:30

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

but you are not done because you can simplify further.

EbenezerSon · 2013-07-22 08:22:44

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.

bobbym · 2013-07-22 08:28:46

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))

EbenezerSon · 2013-07-22 08:42:57

Do you mean you can simplify further?.

EbenezerSon · 2013-07-22 08:46:50

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

bobbym · 2013-07-22 08:53:37

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

EbenezerSon · 2013-07-22 08:54:56

Thanks bobbym, I get you.

EbenezerSon · 2013-07-23 00:21:40

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)

bobbym · 2013-07-23 00:57:25

Hi;

Is that what you have?

EbenezerSon · 2013-07-23 01:33:48

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.

bobbym · 2013-07-23 01:36:21

Is this closer?

EbenezerSon · 2013-07-23 01:46:01

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

bobbym · 2013-07-23 01:47:31

So this is the problem:

EbenezerSon · 2013-07-23 01:55:38

you have taken the negative sign after the six.

bobbym · 2013-07-23 01:57:23

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

Math Is Fun Forum

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

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

Re: Simplify the following:

Board footer