. Simplify the rational expression:X^2+3x-10/x^2+x-20?

(x^2 + 3x - 10)/(x^2 + x - 20)
= (x^2 + 5x - 2x - 10)/(x^2 + 5x - 4x - 20)
= [(x^2 + 5x) - (2x + 10)]/[(x^2 + 5x) - (4x + 20)]
= [x(x + 5) - 2(x + 5)]/[x(x + 5) - 4(x + 5)]
= (x + 5)(x - 2)/(x + 5)(x - 4)
= (x - 2)/(x - 4)

= (x² + 3x - 10)/(x² + x - 20)
= ([x + 5][x - 2])/([x + 5][x - 4])
= (x - 2)/(x - 4)

Answer: (x - 2)/(x - 4)

(x + 5)(x - 2)
----------------
(x + 5)(x - 4)

(x - 2)
----------
(x - 4)

X^2+3x-10/x^2+x-20
= (x + 5)(x - 2)/(x + 5)(x - 4)
= ( x - 2 )/( x - 4 )

(X^2+3x-10)/(x^2+x-20)=
[(x-2)(x+5)] / [(x-4)(x+5)]=
(x-2)/(x-4)

Only if x not equal -5