F.3-4_____Maths(MC)

2007-08-30 6:29 am
If (p+2)(p-4)=x , then (p-3)(p+1) is

A. x-5
B. x-3
C. x+3
D. x+5

回答 (3)

2007-08-30 6:51 am
(p+2)(p-4)=x

p^2-4p+2p-8=x
p^2-2p-8=x
p^2-2p=x+8

Let y be the result of (p-3)(p+1)
(p-3)(p+1) =y
p^2+p-3p-3=y
p^2-2p-3=y
p^2-2p=y+3

So, x+8=y+3
y=x+8-3
y=x+5

So, the result of (p-3)(p+1) is x+5
The answer is D

Hope I can help You ^v^
參考: Me^v^
2007-08-30 6:39 am
(P+2)(P-4)=X
P^2-4P+2P-8=X
P^2-2P-8=X
P^2-2P-3-5=X
(P-3)(P+1)-5=X
(P-3)(P+1)=X+5
即 D. X+5
2007-08-30 6:35 am
(p+2)(p-4)=x
p^2-2p-8=x
p^2-2p-8+5=x+5
p^2-2p-3=x+5
(p-3)(p+1)=x+5

答案是D


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