Maths question help

2012-07-22 10:26 pm
Please solve question 21 cii) Thanks a lot!!

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回答 (1)

2012-07-23 1:40 am
✔ 最佳答案
(c)(ii)
g(x)=2x²+10x+8=2(x+1)(x+4)⇒g(x-2)=2(x-1)(x+2)
f(x)=(x+2)(x+4)(x+6)⇒f(x+2)=(x+4)(x+6)(x+8)
∴g(x-2)/f(x)-g(x)/f(x+2)=2(x-1)/[(x+4)(x+6)]-2(x+1)/[(x+6)(x+8)]
=2[(x-1)(x+8)-(x+1)(x+4)]/[(x+4)(x+6)(x+8)]=2[2x-12]/[(x+4)(x+6)(x+8)]
=4(x-6)//[(x+4)(x+6)(x+8)]


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