分式1/(x^2-3x+2)和1/(5x-6-x^2)的最简公分母是
问题描述:
分式1/(x^2-3x+2)和1/(5x-6-x^2)的最简公分母是
答
1/(x^2-3x+2)的分母是:x^2-3x+2=(x-1)(x-2)
1/(5x-6-x^2)的分母是: (5x-6-x^2)= -(x-2)(x-3)
两个式子中都有(x-2),所以1/(x^2-3x+2)和1/(5x-6-x^2)的最简公分母是:
(x-1)(x-2)(x-3) =x^3-6x^2+11x-6
答
1/(x^2-3x+2)的分母为:
(x^2-3x+2)
=(x-1)(x-2)
1/(5x-6-x^2)
=-1(x^2-5x+6)的分母为:
x^2-5x+6
=(x-2)(x-3)
所以1/(x^2-3x+2)和1/(5x-6-x^2)的最简公分母是
(x-1)(x-2)(x-3)