Question

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Descompuneti in factori următoarele expresii :

a) x²+2·x·√3+(√3)²

b) x²-2·x·√5+(√5)²

c) x²-(√7)²

d) x²+2√6x+6

e) a²-2√3a+3

f) 4x²-5

Answer 1

Răspuns:

Explicație pas cu pas:

a) x²+2·x·√3+(√3)² = (x + √3)(x + √3)

b) x²-2·x·√5+(√5)² = (x - √5)(x - √5)

c) x²-(√7)² = (x - √7)(x + √7)

d) x²+2√6x+6 = (x + √6)(x + √6)

e) a²-2√3a+3 = (a - √3)(a - √3)

f) 4x²-5 = (2x - √5)(2x + √5)

(a + b)² = (a + b)(a + b) = a² + 2ab + b²

(a - b)² = (a - b)(a - b) = a² - 2ab + b²

a² - b² = (a - b)(a + b)