(x² + 1)⋅(x² − 1)
(x² + 1)⋅(x + 1)⋅(x − 1)
(x + i)⋅(x − i)⋅(x + 1)⋅(x − 1)
2007-11-26 20:20:45
·
answer #1
·
answered by Anonymous
·
1⤊
1⤋
Easy
x^4-1=(x^2+1)(x^2-1)=(x^2+1)(x+1)(x-1)
2007-11-26 20:44:53
·
answer #2
·
answered by Anonymous
·
0⤊
0⤋
Easy
x^4-1=(x^2+1)(x^2-1)=(x^2+1)(x+1)(x-1)
2007-11-26 20:13:36
·
answer #3
·
answered by ramesh_1960 3
·
0⤊
1⤋
I believe the question is to obtain factors for the expression; x^4 - 1
We first note that x^4 - 1 is a difference of two squares and so we can factorize as follows;
x^4 - 1 = (x^2 - 1)(x^2 + 1)
The next step: note again that X^2 - 1 is also difference square. Hence we have, finally;
x^4 - 1 = (x-1)(x+1)(x^2 + 1)
2007-11-26 20:39:16
·
answer #4
·
answered by cephani 1
·
0⤊
0⤋
x^4-1
= (x²+1)(x²-1)
= (x²+1)(x-1)(x+1)
2007-11-26 20:27:23
·
answer #5
·
answered by CPUcate 6
·
1⤊
0⤋
I assume you mean x^4 - 1.
x^4 - 1 = (x² + 1)(x² - 1) = (x² + 1)(x + 1)(x - 1)
2007-11-26 20:12:42
·
answer #6
·
answered by Northstar 7
·
2⤊
0⤋
did you mean x^4-1? if so,
it is (x^2-1) times (x^2+1)
(x^2-1)
(x^2+1)
multiply 1st x^2 and x^2 = x^4
then multiply x^2 with -1 = negative x^2
multiply 1 with x^2 = positive x^2
(*this makes the two answers equal to zero x^2 -x^2 =0)
then finally multiply 1 with -1= -1
thus the final answer is
x^4-1
2007-11-26 21:01:07
·
answer #7
·
answered by amsirach 2
·
0⤊
1⤋
You cannot factor a problem
You factor a polynomial.
2007-11-26 21:47:32
·
answer #8
·
answered by Theta40 7
·
0⤊
0⤋