4條f.2數學(續多項式的因式分解)(7點!!)

2011-08-26 1:31 am
1.(x^2+4x+4)-9y^2
2.25x^2-(9y^2-6y+1)
3.(x^2+6xy+9y^2)-16z^2
4.4x^2-(4y^2-4yz+z^2)

thanks:):)

回答 (1)

2011-08-26 1:51 am
✔ 最佳答案
1.(x^2+4x+4)-9y^2
=(x+2)^2-(3y)^2
=(x-3y+2)(x+3y+2)

2.25x^2-(9y^2-6y+1)
=(5x)^2-(3y-1)^2
=(5x-3y+1)(5x+3y-1)

3.(x^2+6xy+9y^2)-16z^2
=(x+3y)^2-(4x)^2
=(x+3y-4x)(x+3y+4x)
=3(y-x)(5x+3y)

4.4x^2-(4y^2-4yz+z^2)
=(2x)^2-(2y-z)^2
=(2x-2y+z)(2x+2y-z)




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