Question

What is the simplified form of x minus 5 over x squared minus 3x minus 10⋅ x plus 2 over x squared plus x minus 12 ? (6 points) Select one: a. 1 over the quantity x minus 3 times the quantity x plus 4 b. 1 over the quantity x minus 3 times the quantity x plus 2 c. 1 over the quantity x plus 4 times the quantity x minus 5 d. 1 over the quantity x plus 2 times the quantity x minus 5

Answer 1

`\ \text{a. }\quad(1)/((x-3)(x+4))`

Explanation:

Maybe you want the product ...

`(x-5)/(x^2-3x-10)\cdot(x+2)/(x^2+x-12)=(x-5)/((x-5)(x+2))\cdot(x+2)/((x-3)(x+4))\\\\=\boxed{(1)/((x-3)(x+4))}`

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Numerator factors of (x-5) and (x+2) cancel those in the denominator.