(√7 - 2)² - (√7 - 3)(√7 + 3) + 2√28
First, let's expand and simplify the terms:
(√7 - 2)² = 7 - 4√7 + 4
(√7 - 3)(√7 + 3) = 7 - 9 = -2
Now, substitute the simplified terms back into the expression:
7 - 4√7 + 4 - (-2) + 2√2811 - 4√7 + 2 + 2√2813 - 4√7 + 2√28
Therefore, (√7 - 2)² - (√7 - 3)(√7 + 3) + 2√28 = 13 - 4√7 + 2√28.
(√7 - 2)² - (√7 - 3)(√7 + 3) + 2√28
First, let's expand and simplify the terms:
(√7 - 2)² = 7 - 4√7 + 4
(√7 - 3)(√7 + 3) = 7 - 9 = -2
Now, substitute the simplified terms back into the expression:
7 - 4√7 + 4 - (-2) + 2√28
11 - 4√7 + 2 + 2√28
13 - 4√7 + 2√28
Therefore, (√7 - 2)² - (√7 - 3)(√7 + 3) + 2√28 = 13 - 4√7 + 2√28.