因式分解:(x+3)^2-(x+1)(x-3)≡P(x+1)+Q

2007-12-24 9:23 am
因式分解:

(x+3)^2-(x+1)(x-3)≡P(x+1)+Q
求P及Q.

Ans:P=8及Q=4

回答 (1)

2007-12-24 10:03 am
✔ 最佳答案
P(x+1)+Q≡(x+3)^2-(x+1)(x-3)
P(x+1)+Q≡(x^2+6x+9)-(x^2-2x-3)
P(x+1)+Q≡x^2+6x+9-x^2+2x+3
P(x+1)+Q≡8x+12
P(x+1)+Q≡8x+8+4
P(x+1)+Q≡8(x+1)+4

Therefore P=8 and Q=4


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