Bonsoir,
A = -4√96 + 5√24 + 5√54
= -4√(16×6) + 5√(4×6) + 5√(9×6)
= -4√(4²×6) + 5√(2²×6) + 5√(3²×6)
= -4(4)√6 + 5(2)√6 + 5(3)√6
= -16√6 + 10√6 + 15√6
= 9√6
B = (4√6 + 2√5)²
= (4√6)² + 2(4√6)(2√5) + (2√5)²
= (16×6) + 2(8√30) + (4×5)
= 96 + 16√30 + 20
= 116 + 16√30
x² + 6x + 9 = x² + 2(x)(3) + 3² = (x+3)²
x² - 81 = x² - 9² = (x+9)(x-9)
4x² - 4√(3x) + 3 = (2x)² - 2(2x)(√3) + (√3)² = (2x - √3)²
