Question

Please solve the attached problem and chose from the answers below.

Answer 1

C

Explanation:

`(5)/(4t)-(t+4)/(10t^2)=(5\left(10t^2\right)-4t\left(t+4\right))/(40t^3)=(2t\left(25t-2\left(t+4\right)\right))/(40t^3)=(\left(25t-2t-8\right))/(20t^2)=(23t-8)/(20t^2)`

Answer 2

For this case we must find the value of the following expression:

`\frac {5} {4t} - \frac {t + 4} {10t ^ 2}`

So, we have:

`\frac {5 * 10t ^ 2-4t (t + 4)} {4t * 10t ^ 2} =\\\frac {50t ^ 2-4t ^ 2-16t} {40t ^ 3} =`

We add similar terms:

`\frac {46t ^ 2-16t} {40t ^ 3} =`

We simplify dividing the numerator and denominator by 2:

`\frac {23t ^ 2-8t} {20t ^ 3} =`

We factor the numerator:

`\frac {t (23t-8)} {20t ^ 3} =`

We simplify:

`\frac {23t-8} {20t ^ 2}`

Answer:

Option C