MATHS F3 Factorize

2010-11-03 6:06 am
12v-12v^2-6u+3u^2

要有完整啲step,THX
更新1:

Factorize

回答 (3)

2010-11-03 6:18 am
✔ 最佳答案
12v - 12v^2 - 6u + 3u^2
=12v - 6u - 12v^2 + 3u^2
=6(2v - u) - 3( 4v^2 - u^2)
=6(2v - u) - 3(2v+u)(2v-u)
=3(2v-u)[ 2 - (2v+u) ]
=3(2v-u)(2-2v-u)
2010-11-04 2:35 am
12v-12v^2-6u+3u^2
=12v-6u-(12v^2-3u^2)
=6(2v-u) - 3(4v^2-u^2)
=6(2v-u) - 3[(2v)^2-u^2]
=6(2v-u) - 3(2v+u)(2v-u)
= 3(2v-u) [2-(2v+u)]
=3(2v-u)(2-2v-u)
2010-11-03 4:33 pm
12v-12v^2-6u+3u^2
=(3u^2-6u+3)-(12v^2-12v+3)
=3(u^2-2u+1)-3(4v^2-4v+1)
=3(u-1)^2-3(2v-1)^2
=3(u-1-2v+1)(u-1+2v-1)
=3(u-2v)(u+2v-2)


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