Which expression represents the sum of the following?

Question

(5)/ (2t + 1) + (-1) / (4t^2 + 4t + 1)

a) 10t + 4 / (2t + 1)^2
b) 4 / (2t + 1)^3
c) 4 / 4t^2 + 6t + 2
d) 10t + 1 / (2t + 1)^2

Answer 1

5/(2t + 1)] - 1/(4t^2+4t+1)]
= [5(2t +1)-1]/(2t+1)^2
= (10t +4)/(2t+1)^2
(a) is correct if you add parentheses around (2t+4). Otherwise (a) is ambiguous

Answer 2

thanks drwls