The calculated value of the expression (u - t)(u² - t²) is 50
How to determine the value of the expression
From the question, we have the following parameters that can be used in our computation:
(u - t)(u² - t²)
Applying the difference of two squares
So, we have
u² - t² = (u - t)(u + t)
This means that
(u - t)(u² - t²) = (u - t)(u - t)(u + t)
Recall that
u + t = 5 and u- t = 2
Substitute the known values into the equation
(u - t)(u² - t²) = 2 * 5 * 5
Evaluate
(u - t)(u² - t²) = 50
Hence, the value of the expression is 50