Question

simplify the expression

Answer 1

um can u tell me what the first number under teh first fraction is?

Answer 2

1/t-1 - 3/t-3 =1/4

Answer 3

can u help plez?

Answer 4

Use the fact that a/b - c/d = (ad-bc) / bd

Answer 5

make a common denominator

Answer 6

1/(t-1) - 3/(t-3) =1/4
{ 1 * (t-3) - 3*(t-1) } / { (t-3)(t-1) } = 1/ 4
{ t - 3 - 3t + 3 } / { (t-3)(t-1) } = 1/ 4
{ -2t } / { (t-3)(t-1) } = 1/ 4
cross multiply:
4 * (-2t) = 1 * (t-3)(t-1)
-8t = t^2 - 4t + 3
t^2 - 4t + 8t + 3 = 0
t^2 + 4t + 3 = 0
(t+3)(t+1) = 0

If you are asked to solve for t, then t = -1, -3