Question

Simplify into factors (2/X+2)-(3/x-3)+(X+10/x²-4)​

Answer 1

Answer:

-3 / (x-3) (x-2)

Step-by-step explanation:

(2/x+2) - (3/x-3) + ( x+10)

=2(x-3)-3(x+2) / (x+2) (x-3) + x+10/ x^2 - 4

=2x-6-3x-6 / (x+2)(x-3) + x+10 / (x+2)(x-2)

= -x-12 / (x+2)(x-3) + x+10 /(x+2)(x-2)

=(-x-12)(x-2)+(x+10)(x-3) / (x+2)(x-3)x-2)

= -x^2+2x-12x+24+x^2-3x+10x-30 /(x+2)(x-3)x-2)

= -3x - 6 / (x+2)(x-3)x-2)

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

= -3 / (x-3) (x-2)