Factoring help!

[oceanwaveslife]

I am having trouble on this problem! I need to factor this problem...x^4-(x-1)^4
I then simplified it to....(x^2)^2-((x-1)^2)^2...is this correct and if so I don't know what to do next!

 

[Deleted member 4993]

I am having trouble on this problem! I need to factor this problem...x^4-(x-1)^4
I then simplified it to....(x^2)^2-((x-1)^2)^2...is this correct <<< Yes

a[supx20ga07]4[/supx20ga07] - b[supx20ga07]4[/supx20ga07] = (a[supx20ga07]2[/supx20ga07])[supx20ga07]2[/supx20ga07] - (b[supx20ga07]2[/supx20ga07])[supx20ga07]2[/supx20ga07]

Now use

a[supx20ga07]4[/supx20ga07] - b[supx20ga07]4[/supx20ga07] = (a[supx20ga07]2[/supx20ga07])[supx20ga07]2[/supx20ga07] - (b[supx20ga07]2[/supx20ga07])[supx20ga07]2[/supx20ga07] = (a[supx20ga07]2[/supx20ga07] + b[supx20ga07]2[/supx20ga07]) (a[supx20ga07]2[/supx20ga07] - b[supx20ga07]2[/supx20ga07]) = (a[supx20ga07]2[/supx20ga07]+ b[supx20ga07]2[/supx20ga07])(a + b)(a - b)

In your case, you'll have further simplification to do....


and if so I don't know what to do next!

 

[oceanwaveslife]

so now i got....(x^2+(x-1)^2)(x+(x-1))(x-(x-1))...is this right?

 

[Deleted member 4993]

so now i got....[x^2+(x-1)^2] [x+(x-1)][x-(x-1)]...is this right?<< Yes but you need to simplify further inside those [].

 

[oceanwaveslife]

so is the answer? (2x-1)(2x^2-2x+1)?

 

[Aladdin]

so is the answer? (2x-1)(2x^2-2x+1)?

Vamos , Correct :wink: