Question

what is the simplified form of x+2/x^2-3x-10 times x-3/x^2+x-12

Answer 1

factorize
x^2-3x-10
=(x-5)(x+2)

and

x^2+x-12
=(x-3)(x+4)

( x+2/x^2-3x-10 )( x-3/x^2+x-12)
=(x+2)/((x-5)(x+2)) (x-3)/(x-3)(x+4)
=1/(x-5) 1/(x+4)
=1/((x-5)(x+4))

Answer 2

thank you so much!

Answer 3

you are welcome :D