i need your help solving this partial fraction..-4x + 16x -24 / x(x-2)(x-6)?

2008-08-18 5:53 am

回答 (4)

2008-08-18 6:15 am
✔ 最佳答案
-4x + 16x -24 / x(x-2)(x-6)
12x-24/x(x-2)(x-6)
12(x-2)/x(x-2)(x-6)

The (x-2) is in the numerator and denominator so they cancel.

12/x(x-6) or 12/x^2-6x
2008-08-18 5:15 pm
(-4x + 16x - 24)/x(x - 2)(x - 6)
= (12x - 24)/x(x - 2)(x - 6)
= 12(x - 2)/x(x - 2)(x - 6) (cancel out x - 2)
= 12/x(x - 6)
2008-08-18 1:08 pm
set your expression equal to a / x + b / [X-2] + c / [ X - 6 ], then multiply both sides by x[x-2][x-6] and evaluate the resulting equation for x = 0 , then 2 , then 6 to find a , b, c
2008-08-18 1:06 pm
(-4x + 16x -24 )/ x(x-2)(x-6)
=(12x-24)/x(x-2)(x-6)
={12(x-2)}/x(x-2)(x-6)
=12/x(x-6) since (x-2)in the numerator and the denominator gets canceled.


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