Maths!!!

2009-12-01 5:53 am
Factorize!!!
1. 18x^2 - 2y^2 + 6x - 2y
2. x^2 - y^2 - z^2 - 2yz

回答 (1)

2009-12-01 6:01 am
✔ 最佳答案

(1) 18x^2 - 2y^2 + 6x - 2y
= 2(9x^2 - y^2) + 2(3x - y)
= 2[(3x)^2 - y^2] + 2(3x - y)
= 2(3x - y)(3x + y) + 2(3x - y)
= 2(3x - y)(3x + y + 1)
(2) x^2 - y^2 - z^2 - 2yz
= x^2 - (y^2 + 2yz + z^2)
= x^2 - (y + z)^2
= (x + y + z)(x - y - z)


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