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=> x² - y² + 2xy --> x² - y² = (x + y)(x - y)
=> ( (2 - √3) + (2 + √3) ) ( (2 - √3) - (2 + √3)) + 2 (2 - √3)(2 + √3)
=> ( 4. -2√3) + 2(4 -3)
=> -8√3 + 2
=> 2 - 8√3 (A)
a = 2+√7, b=2-√7
=> a² + b² - 4ab --> (a + b)² - 6ab
=> ( (2+√7)+(2-√7) )² - 6(2+√7)(2-√7)
=> 4² - 6(4-7)
=> 16 + 18 = 34 (D)