6x^-5xy-4y^-11x+22y+m=(ax+by+c)(dx+ey+f)成为恒等式m的值为?
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6x^-5xy-4y^-11x+22y+m=(ax+by+c)(dx+ey+f)成为恒等式m的值为?
6x^-5xy-4y^-11x+22y+m=(ax+by+c)(dx+ey+f)成为恒等式m的值为?
6x^-5xy-4y^-11x+22y+m=(ax+by+c)(dx+ey+f)成为恒等式m的值为?
6(x^2)-5xy-4(y^2)-11x+22y+m
=(2x+y)(3x-4y)-11x+22y+m
令(2x+y)(3x-4y)-11x+22y+m可因式分解为(2x+y+p)(3x-4y+q),
由(2x+y+p)(3x-4y+q)=(2x+y)(3x-4y)-11x+22y+m
即6(x^2)-5xy-4(y^2)+(2q+3p)x+(q-4p)y+pq=6(x^2)-5xy-4(y^2)-11x+22y+m
所以2q+3p=-11
q-4p=22
p=-5
q=2
6(x^2)-5xy-4(y^2)-11x+22y+m=(2x+y-5)(3x-4y+2)
m=pq=-10
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