Subtract the rational expression 1/x^2-x-6 - x/x+2.

asked Nov 20, 2022 843 views

9 votes

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10 votes

Answer:

Explanation:

x² - x -6 = x² + 2x - 3x - 3*2

=x(x + 2) - 3(x + 2)

= (x + 2 )(x - 3)

$(1)/(x^(2)-x-6)+(x)/(x+2)=(1)/((x +2 )(x - 3))-(x)/(x + 2)\\$

$= (1)/((x+2)(x-3))-(x(x-3))/((x+2)(x-3))\\\\=(1-x(x-3))/((x+2)(x-3))\\\\=(1-x^(2)+3x)/((x+2)(x-3))\\\\$

YYZ answered Nov 25, 2022

by YYZ

3.9k points

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