Q:

I need help please explain how to do these two question as I did the rest of them. I just don't understand these.

Accepted Solution

A:
Answer: 7. (4x +10)/(x^3 +3x^2 -16x -48) 9. -320/93Step-by-step explanation:7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators. 6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3)) = (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator = (6x +18 -2x -8)/((x -4)(x +3)(x +4)) = (4x +10)/((x^2 -16)(x +3)) = (4x +10)/(x^3 +3x^2 -16x -48)_____9. First you simplify the denominator: 2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400Then you perform the division. This can be done by multiplying by the inverse of the denominator. (4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93