Add or subtract the following rational expressions. Be sure to look for factors before trying to determine a common denominator, and simplify your answers, if possible.

Question

16x-12/4x^2+5x-6-3/x+2

Reiny · Answer

From the many ways your ambiguous way of typing could be interpreted , I will choose

(16x-12)/(4x^2+5x-6) - 3/(x+2)

= 4(x-3)/( (x+2)(4x-3) ) - 3/(x+2)

= (4(x-3) - 3(4x-3))/((x+2)(4x-3))
= (4x - 12 - 12x + 9)/((x+2)(4x-3))
= (-8x - 3)/((x+2)(4x-3))