求x^+6x-y^-4y+5因式分解?

2016-02-06 1:19 pm

回答 (2)

2016-02-06 1:37 pm
✔ 最佳答案
Sol
x^2+6x-y^2-4y+5
=(x+6x)-(y^2+4y)+5
=(x^2+6x+9)-(y^2+4y+4)
=(x+3)^2-(y+2)^2
=(x+3-y-2)(x+3+y+2)
=(x-y+1)(x+y+5)
2016-02-07 2:01 am
x^2+6x-y^2-4y+5
=(x^2+6x)-(y^2+4y)+5
=(x^2+6x+9)-(y^2+4y+4)
=(x+3)^2-(y+2)^2
=(x+3-y-2)(x+3+y+2)
=(x-y+1)(x+y+5)


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