Question

simplify 3x^2-12/x^2-3x-10

Answer 1

Answer:

3(x+2)/(x-5)

Step-by-step explanation:

3x^2-12/x^2-3x-10

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

= 3(x+2)(x-2)/(x(x-5)+2(x-5)

= 3(x+2)(x-2)/(x+2)(x-5)

= 3(x+2)/(x-5)

so, 3x^2-12/x^2-3x-10= 3 (x + 2) / (x- 5)