Question

solve;
(x - 2-√3)(x - 2+√3)​

Answer 1

$\huge\underline\bold\purple{SOLUTION}$

use both identity

a²-b²

(a+b)(a-b)

(a-b)²

a²+b²-2ab

(x-2-√3)(x-2+√3)

(x-2)²-(√3)²

(x-2)²-3

x²+4-4x-3

x²-4x+1

Answer 2

Answer:

x² - 4x + 1

Step-by-step explanation:

Given : (x - 2 - √3)(x - 2 + √3)

We can write this as :

→ [ (x - 2) - (√3) ] [ (x - 2) + (√3) ]

{ Identity : (a - b)(a + b) = a² - b²

Here, a = x - 2, b = √3 }

→ (x - 2)² - (√3)²

→ (x - 2)² - 3

{ Identity : (a - b)² = a² + b² - 2ab

Here, a = x, b = 2 }

→ (x)² + (2)² - 2(x)(2) - 3

→ x² + 4 - 4x - 3

→ x² - 4x + 1