x^6 -26x^4 +25x^2 factor of expression?

2009-07-04 9:04 am
Thank u again

回答 (4)

2009-07-04 9:20 am
✔ 最佳答案
=x^2(x^4-26x^2+25)=
=x^2(x-25)(x^2-1)=
=x^2(x-5)(x+5)(x-1)(x+1)
2009-07-04 9:10 am
x^6 - 26x^4 + 25x²

= x²(x^4 - 26x² + 25)

= x²(x² - 25)(x² - 1)

= x²(x + 5)(x - 5)(x + 1)(x - 1)
2009-07-04 9:11 am
a^2 - b^2 ≡ (a + b)(a - b)

x^6 - 26x^4 + 25x^2
= x^2(x^4 - 26x^2 + 25)
= x^2(x^4 - x^2 - 25x^2 + 25)
= x^2[(x^4 - x^2) - (25x^2 - 25)]
= x^2[x^2(x^2 - 1) - 25(x^2 - 1)]
= x^2(x^2 - 1)(x^2 - 25)
= x^2(x^2 - 1^2)(x^2 - 5^2)
= x^2(x + 1)(x - 1)(x + 5)(x - 5)
2009-07-04 9:12 am
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It's always been a factor in my enjoyment.


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