Question

What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12?

Answer 1

Sorry, I don't understand your question.. I hope this was what you were asking for.

(x-5)/(x²-3x-10) × (x+4)/(x²+x-12)

= (x-5)/(x²-5x+2x-10) × (x+4)/(x²+4x-3x-12)

= (x-5)/[{x(x-5)}+{2(x-5)}] × (x+4)/[{x(x+4)}+{-3(x+4)}]

= (x-5)/[(x+2)(x-5)] × (x+4)/[(x-3)(x+4)]

= 1/(x+2) × 1/(x-3)

= 1/[(x+2)(x-3)] or 1/(x²-x-6) or (x²-x-6)-¹