F.3 Maths

2009-07-26 8:33 pm
factorive the following polynomials:

(^2 = 2次)
(^3 = 3次)
(^4 = 4次)


24. 28(x+y)^2-7(x-y)^2 (要埋步驟!!)

27. 12v-12v^2-6u+3u^2 (要埋步驟!!)

回答 (1)

2009-07-26 9:20 pm
✔ 最佳答案
24. 28(x+y)2-7(x-y)2
=7[4(x+y)2-(x-y)2]
=7{[2(x+y)]2-(x-y)2}
=7[2(x+y)-(x-y)][2(x+y)+(x-y)]
=7(x+3y)(3x+y)

27. 12v-12v2-6u+3u2
=3(4v-4v2-2u+u2)
=3[u2-4v2-2(u-2v)]
=3[(u-2v)(u+2v)-2(u-2v)]
=3(u-2v)[(u+2v)-2]
=3(u-2v)(u+2v-2)


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