The expression u² - 6u rewritten by completing the square is (u - 3)² - 9
How to rewrite the expression by completing the square
From the question, we have the following parameters that can be used in our computation:
u² - 6u
Take the coefficient of u
k = -6
Divide this coefficient by 2
k/2 = -3
Square this result
(k/2)² = 9
This means that the number to add 9 - 9 to the expression u² - 6u
So, we have
u² - 6u + 9 - 9
Group the first three terms
(u² - 6u + 9) - 9
Factorize this terms
(u - 3)² - 9
Hence, the expression rewritten by completing the square is (u - 3)² - 9
Question
Complete the square to rewrite u^2 -6u