simplify (r^2 - 1)/6r * 2r+2/r^2 - r?

2008-09-16 9:23 am

回答 (2)

2008-09-16 11:47 am
✔ 最佳答案
(r^2 - 1)/6r * (2r + 2)/(r^2 - r)
= (r^2 + r - r - 1)/6r * (2r + 2)/r(r - 1)
= (r + 1)(r - 1)/6r * 2(r + 1)/r(r - 1) (cancel out r - 1)
= (r + 1)/6r * 2(r + 1)/r
= 2(r + 1)^2/6r^2
= (r + 1)^2/3r^2
2008-09-16 9:34 am
Presentation is such that question may be read in a number of different ways.

Will TAKE A GUESS at :-
[ (r² - 1) / (6r) ] [ 2(r + 1) / r(r - 1) ]
[ (r - 1)(r + 1) / (6r) ] [ 2(r + 1) / r(r - 1) ]
[ (r + 1) / (6r) ] [ 2(r + 1) / r ]
2 (r + 1)² / 6r²
(r + 1)² / (3 r²)

PS
Presentation of question is ALL IMPORTANT and, towards this end, brackets MUST be used.


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