[10] Factorization

2007-12-31 8:17 pm
1. (b+c) ^2 - 2a(b+c)
2. 5(3m-n)^2 - 5a(n-3m)
3. 5(x-y)^3 - 10(y-x)^2
4. (c-d)^2 - 5c+5d
5. (2b-c) (x^2 + 2) + (c-2b) (2-x^2)
6. (4h-6k)^2 + 3k - 2h

回答 (1)

2007-12-31 8:36 pm
✔ 最佳答案
1.(b+c) ^2 - 2a(b+c)
=(b+c)(b+c-2a)
2. 5(3m-n)^2 - 5a(n-3m)
=5(3m-n)(3m-n+a)
3. 5(x-y)^3 - 10(y-x)^2
=5(x-y)^2 (x-y-2)
4. (c-d)^2 - 5c+5d
=(c-d)^2-5(c-d)
=(c-d)(c-d-5)
5. (2b-c) (x^2 + 2) + (c-2b) (2-x^2)
=(2b-c)(x^2+2-2+x^2)
=(2b-c)(2x^2)
6. (4h-6k)^2 + 3k - 2h
=4(2h-3k)^2+3k-2h
=(2h-3k)[4(2h-3k)-1]
=(2h-3k)(8h-12k-1)


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