Question

Subtract: (9t^(2))/(3t-8)-(64)/(3t-8) Reduce your answer to lowest terms

Answer 1

Subtract (9t²)/(3t-8)-(64)/(3t-8) by combining the terms over the common denominator and simplifying to get the final answer of 3t + 8.

Step-by-step explanation:

To subtract (9t²)/(3t-8)-(64)/(3t-8), notice that both terms have the same denominator. You can combine them into a single fraction by subtracting the numerators:

(9t² - 64) / (3t - 8)

Reduce this expression to its lowest terms:

1. Factor the numerator, which is a difference of squares: (3t + 8)(3t - 8)
2. Cancel out the common factors in the numerator and the denominator:

3t + 8

The fraction is now reduced to the lowest terms. The final answer is 3t + 8.'