Please help! Any assistance would be much appreciated :)

Answer:
( x - 5 )² - 14
Step-by-step explanation:
a² ± 2ab + b² = ( a ± b )²
~~~~~~~~~
x² - 10x + 11 = ( x² - 2(5)(x) + 25 ) - 25 + 11 = ( x - 5 )² - 14
Answer:
Step-by-step explanation:
You want to complete the square
x^2 - 10x + 11
-10x/2 = -5
(-5)^2 = 25
x^2 - 10x + 25 + 11
You've added 25 to the expression. You must take 25 away so you don't change the expression's value.
x^2 - 10x + 25 + 11 - 25 Now make the first three terms into a square
(x - 5)^2 + 11 - 25 Combine
Answer: (x - 5)^2 - 14