Hey!

I need help factoring this polynomial. I can see the perfect square but I am unable to get the correct answer when factoring this polynomial:

Sam

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- Sep 1st 2011, 08:02 AMArcherSamFactoring Perfect Squares
Hey!

I need help factoring this polynomial. I can see the perfect square but I am unable to get the correct answer when factoring this polynomial:

Sam - Sep 1st 2011, 08:28 AMSironRe: Factoring Perfect Squares
You have to use [ tex ] ... [ / tex] in stead of [ math ] ... [ / math] but it's still disordered.

Do you mean:

?

If you have difficulties to factore let and so you can write it as:

- Sep 1st 2011, 10:08 AMHallsofIvyRe: Factoring Perfect Squares
Equivalently,

- Sep 1st 2011, 01:41 PMArcherSamRe: Factoring Perfect Squares
Wow, thanks for replying so fast.

I exported the markup code from MathType, but I kept getting errors! I'm not too familiar with Tex and LaTex :( .

What I meant was I could not get this equation:

x^6-2x^3+1

to!:

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

I also don't understand how the answer multiplies:

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

to get!:

x^6-2x^3+1

I was able to identify the perfect square:

(x-1)^2

But I did not know how to extract this perfect square without unsatisfying the equation!

Listing the steps from:

x^6-2x^3+1

to,:

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

would be greatly appreciated. Also could someone explain how extracting a perfect square does not unsatisfy the equation.

Sam - Sep 1st 2011, 03:23 PMskeeterRe: Factoring Perfect Squares
- Sep 1st 2011, 03:43 PMPlatoRe: Factoring Perfect Squares
- Sep 1st 2011, 04:55 PMArcherSamRe: Factoring Perfect Squares
Thanks to all.

@skeeter

Thanks for giving insight to the simplicity of the equation. I am known to over-think everything. Probably from a lack in confidence.

@All

From prior post I was able to deduce the solutions:

Attachment 22165

@Plato

This is what MathType generated when I copy and pasted the equation above(start and end tags contained math and /math):

[]\begin{array}{l}

a{}^3 - b{}^3 = (x - a)(x{}^2 + ax + a{}^2)\\

x{}^6 - 2x{}^3 + 1 = (x{}^3 - 1){}^2\\

(x - 1){}^2(x{}^2 + ( - 1)x + ( - 1){}^2){}^2\\

(x - 1){}^2(x{}^2 - x + 1){}^2

\end{array}[]

Then I edited the markup code and got:

Help please!

Sam - Sep 1st 2011, 05:07 PMPlatoRe: Factoring Perfect Squares
- Sep 2nd 2011, 04:03 AMArcherSamRe: Factoring Perfect Squares
@Plato

Thanks! I was unsure what you meant by linefeeds. I thought some code inside the tags was preventing the desired output, but you meant the formatting of the code. I used textfixer text tools to get rid of the linefeeds. I also download AutoUnbreak for future use. If you know of any offline software for text cleanup, please let me know!