Question

What two rational expressions sum to 3x−4/x^2+x−12?

Answer 1

Answer:

3x / (x - 3)(x + 4) + (-4) / (x - 3)(x + 4)

Step-by-step explanation:

3x - 4 / x² + x - 12

= 3x - 4 / x² + 4x - 3x - 12

= 3x - 4 / x(x + 4) -3(x + 4)

= 3x - 4 / (x + 4)(x - 3)

thus,

the required expression is:

3x / (x + 4)(x - 3) + (-4) / (x + 4)(x - 3)