126k views
0 votes
What is the difference?

StartFraction x Over x squared minus 2 x minus 15 EndFraction minus StartFraction 4 Over x squared + 2 x minus 35 EndFraction

User Tochi
by
4.5k points

2 Answers

4 votes

Answer:

(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)

Explanation:

(x/(x^2 - 2x - 15) ) - (4/(x^2 + 2x - 35)) =

(x/((x-5)(x+3))) - (4/((x-5)(x+7))) =

((x * (x+7)) - (4 * (x+3)))/((x-5)(x+3)(x+7)) =

(x^2 + 7x - 4x - 12)/(x^3 + 5x^2 - 29x - 105) =

(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)

User Ari Ronen
by
4.1k points
3 votes

Answer:

the Answer is D: x^2+3x-12/(x+3)(x-5)(x+7)

Explanation:

Edge2020 ;D

User Muhammad Rayhan
by
4.0k points