2 /(x ^ 2 - 9)+ 3 /(x ^ 2-4x + 3)とは何ですか?

2 /(x ^ 2 - 9)+ 3 /(x ^ 2-4x + 3)とは何ですか?
Anonim

回答:

#2 /(x ^ 2-9)+ 3 /(x ^ 2-4x + 3)=(5x + 7)/((x-3)(x + 3)(x-1))#

説明:

#2 /(x ^ 2-9)+ 3 /(x ^ 2-4x + 3)#

= #2 /(((x-3)(x + 3))+ 3 /((x-3)(x-1))#

= #(2(x-1)+ 3(x + 3))/((x-3)(x + 3)(x-1))#

= #(2x-2 + 3x + 9)/((x-3)(x + 3)(x-1))#

= #(5x + 7)/((x-3)(x + 3)(x-1))#