Question

Descompuneti in factori
(x-3)(x-2)^2-x+3
(x+7)^2-25
(x-5)^2-36
(x-6)^2-9x^2
(x+2)^2-16 x^2
Va rog

Answer 1

Răspuns

(x-3)(x-2)^2-x+3  = (x -3)(x - 2)^2 - (x - 3) = (x - 3) ( (x - 2)^- 1)) =     (x - 3)(x - 2 - 1)(x - 2 + 1) = (x - 3)(x - 3)(x - 1)

(x+7)^2-25  = (x + 7 + 5)(x + 7 - 5) =(x + 12)(x + 2)

(x-5)^2-36  = (x - 5 + 6)(x - 5 - 6) = (x + 1)(x - 11)

(x-6)^2-9x^2  = (x - 6 + 3x)(x - 6 - 3x) = (4x - 6) (- 2x - 6)

(x+2)^2-16 x^2 = (x + 2 + 4x) (x + 2 - 4x) = (5x + 2)(2 - 3x )