Subtract.
(5)/(t^(2))-(4)/(t+1)
Can you subtract the two fractions?
That is not an answer choice
I apologize for the confusion. Without the answer choices, I can't provide a specific answer but I can simplify the expression further.
(5)/(t^(2)) - (4)/(t + 1)
Multiplying the first fraction by (t + 1)/(t + 1), and the second fraction by t^(2)/t^(2), we get:
(5(t + 1))/((t^(2))(t + 1)) - (4t^(2))/((t^(2))(t + 1))
Combining the numerators, we get:
(5t + 5 - 4t^(2))/((t^(2))(t + 1))
Simplifying the numerator, we have:
(-4t^(2) + 5t + 5)/((t^(2))(t + 1))
Therefore, the simplified expression is (-4t^(2) + 5t + 5)/((t^(2))(t + 1)).
The answer choices are,
A. (5t+2)/(t^(2)(t+1))
B. (5t+1-4t^(2))/(t^(2)(t+1))
C. 1/(t^(2)(t+1))
D.(5+5t-4t^(2))/(t^(2)(t+1))
why is it a different answer this time?
The correct answer is D
5/t^2 - 4/(t+1)
= (5(t+1) - 4t^2) / (t^2(t+1))
= (5t+5-4t^2) / (t^2(t+1))
I apologize for my mistake earlier. Thank you for correcting me. Yes, the correct answer is (D) (5+5t-4t^(2))/(t^(2)(t+1)).
To obtain this answer, we combine the fractions as follows:
(5)/(t^(2)) - (4)/(t + 1)
Multiplying the first fraction by (t + 1)/(t + 1), and the second fraction by t^(2)/t^(2), we get:
(5(t + 1))/((t^(2))(t + 1)) - (4t^(2))/((t^(2))(t + 1))
Combining the numerators, we get:
(5t + 5 - 4t^(2))/((t^(2))(t + 1))
Simplifying the numerator, we have:
(5+5t-4t^(2))/(t^(2)(t+1))
Therefore, the simplified expression is (5+5t-4t^(2))/(t^(2)(t+1)), which corresponds to answer choice (D).
To subtract these fractions, we need to get a common denominator. The first fraction already has a denominator of t^2, so we just need to rewrite the second fraction with the same denominator:
(5)/(t^(2)) - (4)/(t + 1) = (5)/(t^(2)) - (4(t^(2)))/(t^(2)(t + 1))
Now that we have a common denominator, we can combine the numerators:
(5)/(t^(2)) - (4)/(t + 1) = (5 - 4t^(2))/(t^(2)(t + 1))
Therefore, the simplified expression is (5 - 4t^(2))/(t^(2)(t + 1)).
Yes, we can subtract the two fractions:
(5)/(t^(2)) - (4)/(t + 1)
We need to find a common denominator to combine the fractions. The common denominator is t^(2)(t + 1), since the first fraction already has a denominator of t^(2), we only need to multiply the second fraction by (t^(2))/(t^(2)), which gives us:
(5)/(t^(2)) - (4)/(t + 1) * (t^(2))/(t^(2))
Simplifying:
(5)/(t^(2)) - (4t^(2))/(t^(2)(t + 1))
We can now combine the two fractions by subtracting the numerators while keeping the denominator the same:
(5 - 4t^(2))/(t^(2)(t + 1))
Therefore, the simplified expression is (5 - 4t^(2))/(t^(2)(t + 1)).