Maths!!!

2008-11-19 2:08 am
Factorize the following expressions.
1. 9a^2 - k^2 + 2kc -c^2
2. 4x^2 - 20x +25 - y^2
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回答 (1)

2008-11-19 2:41 am
✔ 最佳答案
1.
9a^2 - k^2 + 2kc -c^2
=9a² - k² + 2kc -c²
=9a² -(k² - 2kc +c²)
=(3a)² -(k-c)².............................a²-2ab+b²=(a-b)²
=(3a+k-c)(3a-k+c)......................a²-b²=(a-b)(a+b)

2.
4x^2 - 20x +25 - y^2
=4x² - 20x +25 - y²
=(2x)²-2(2x)(5)+(5)² -y²
=(2x-5)² -y².................................a²-2ab+b²=(a-b)²
=(2x-5-y)(2x-5+y)........................a²-b²=(a-b)(a+b)
參考: 會考數學拿c既人~


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