Identities and Factorize f2.

2012-08-08 12:42 am
(1). Factorize 64-(1-x)^3.

(2) Consider the identity 3x^2 +(B-C)X + (C-D) = (A+D)x^2 + (6-B)X+A
Suggest the values of A.B.C and D.

回答 (1)

2012-08-08 2:55 am
✔ 最佳答案
(1)
64-(1-x)^3
=4^3-(1-x)^3
=(4-1+x)[4^2+4(1-x)+(1-x)^2]
=(3+x)(21-6x+x^2)

(2)
By comparing the coefficient,
3=A+D (1)
B-C=6-B (2)
C-D=A (3)

solving,B=4.5, C=3
Hence, suggest A=1 and D=2


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