Question

what is the sum of the rational expressions below? x/x-2 + 7x/x+5
a. 8x/2x+3
b. 8x/x^2+3x-10
c. 8x^2-9x/x^2+3x-10
d. 8x^2-9x/2x+3

Answer 1

x / x-2 + 7x / x + 5
 What you must do in this case is a sum of fractions.
 Step 1:
 Common factor x in the numerator
 Step 2:
 Make addition of fractions
 Step 3:
 Rewrite the expression.
 See attached image.
 Answer:
 c. 8x ^ 2-9x / x ^ 2 + 3x-10