What is the answer to (x3 + 3x + 3)(x2 - x - 1)?

2009-03-27 4:15 pm

回答 (6)

2009-03-27 4:23 pm
✔ 最佳答案
x^5 - x^4 - x^3 + 3x^3 - 3x^2 - 3x + 3x^2 - 3x - 3 =

x^5 - x^4 + 2x^3 - 6x - 3

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2016-10-16 10:37 am
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2009-03-27 5:39 pm
(x^3 + 3x + 3)(x^2 - x - 1)
= x^3*x^2 + 3x*x^2 + 3*x^2 - x^3*x - 3x*x - 3*x - x^3*1 - 3x*1 - 3*1
= x^5 + 3x^3 + 3x^2 - x^4 - 3x^2 - 3x - x^3 - 3x - 3
= x^5 - x^4 + 3x^3 - x^3 + 3x^2 - 3x^2 - 3x - 3x - 3
= x^5 - x^4 + 2x^3 - 6x - 3
2009-03-27 4:31 pm
(x^3 + 3x + 3)(x^2 - x - 1)

= x^3(x^2) + x^3(-x) + x^3(-1) + 3x(x^2) + 3x(-x) + 3x(-1) + 3(x^2) + 3(-x) + 3(-1)

= x^5 - x^4 - x^3 + 3x^3 - 3x^2 - 3x + 3x^2 - 3x - 3

= x^5 - x^4 + 2x^3 - 6x - 3
2009-03-27 4:22 pm
x^5 - x^4 - x³
________3x³ - 3x² - 3x
____________3x² - 3x - 3

x^5 - x^4 + 2x³ - 6x - 3
2009-03-27 4:21 pm
Expanding the brackets:

x^6-x^4+2x^3-6x-x

Btw, this is not an equation, therefore a solution in x cannot be found.


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