how to solve 27x³ + 8 / 3x + 2?

2008-04-03 7:20 am

回答 (6)

2008-04-03 7:31 am
✔ 最佳答案
(27x³+8) / (3x+2)
= ((3x)³ + 2³) / (3x+2)
= (3x+2)((3x)² - (3x)2 + 2²) / (3x+2)
= 9x² - 6x + 4
2008-04-03 3:59 pm
= (27x³ + 8)/(3x + 2)
= 9x² - 6x + 4

Answer: 9x² - 6x + 4
2008-04-03 7:15 pm
(27x^3 + 8)/(3x + 2)
= (3x + 2)(9x^2 - 6x + 4)/(3x + 2)
= 9x^2 - 6x + 4
2008-04-03 2:35 pm
27x^3+8=(3x)^3+2^3
applying identity (a+b)^3=a^3+b^3+3ab(a+b),
((3x+2)^3-18x(3x+2))/3x+2
=(3x+2)^2-18x
=9x^2+12x+4-18x
=9x^2-6x+4
2008-04-03 2:39 pm
Learn how to do your homework, and get a tutor if you can't.
參考: Clarion University Math
2008-04-03 2:25 pm
27•x³ + 8
------------
3•x + 2
~~~~~~~~
9•x•x•x + 4
---------------
x
~~~~~~~
Answer: 9x^2+4


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