數學:因式分解問題

2011-07-01 3:15 am
我想了很久也想不到...

3yx^2 + 65xy^2 - 42y^3 - 20x^3 10wy + 6wz - 5xy - 3xz17xz + 5y^2 - 7yz - 6z^2 - 7x^2 - 2xy

回答 (3)

2011-07-02 3:03 am
✔ 最佳答案
1)
3yx^2 + 65xy^2 - 42y^3 - 20x^3
= -20x^3 + 3x^2y + 65xy^2 - 42y^3
= -(20x^3 - 3x^2y - 65xy^2 + 42y^3)
= -(4x^2 + 5xy - 6y^2)(5x - 7y)
= -(4x - 3y)(x + 2y)(5x - 7y)

3)
17xz + 5y^2 - 7yz - 6z^2 - 7x^2 - 2xy
= -(7x^2 + 2xy - 17xz - 5y^2 + 7yz + 6z^2)
= -(-7x + 5y + 3z)(-x - y + 2z)
= (7x - 5y - 3z)(x + y - 2z)
2011-07-05 3:30 am
2.10wy + 6wz - 5xy - 3xz
=2W(5y+3z)-x(5y+3z)
=(2W-X)(5Y+3x)
2011-07-01 5:37 am
2. 10wy + 6wz - 5xy - 3xz
=2w(5y+3z)-x(5y+3z)
=(2w-x)(5y+3z)
抱歉,暫時只想到這一條


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