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arugg2k24
14.07.2019 •
Mathematics
Determine the linear factors for x4-2x^2+1
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Ответ:
Then b^2 = x^4.
Now you need to factor
b^2 - 2b + 1 =
(b - 1)^2
Since b = x^2, now we replace b with x^2 and factor again.
(x^2 - 1)^2 is the square of a difference of squares.
= (x^2 - 1)(x^2 - 1)
=(x + 1)(x - 1)(x + 1)(x - 1)
= (x + 1)^2(x - 1)^2
Ответ:
Choose "p" to represent x^2. Then p^2 - 2p + 1 = (p-1)(p-1)
These results are equivalent to (x^2-1)(x^2+1).
x^2-1 can be factored: (x-1)(x+1)
x^2-1 (again) can be factored: (x-1)(x+1)
Then the factored expression is (x-1)^2 * (x+1)^2.
Check this by multiplication. Do you obtain x^4 - 2x^2 + 1?
Ответ:
53
Step-by-step explanation: