Question

Descompuneti in factori: a). x²+6x+9-4y²
b). x²+4x+4-y²-2y-1
c). x²+14x+49-5(x+7)
d). x²+14x+49-5(x+7)
e). (x+2)(2x-1)²-4x-8
f).(x-3)(3x-2)²-9x+27

Answer 1

a)(x+3)la patrat-(2y)patrat=(x+3-2y)(x+3+2y)

b)(x+7)patrat-5(x+7)=(x+7)(x+7-5)=(x+7)(x+2)

e)(x+2)(3x-2)patrat-4(x+2)=(x+2)(9xpatrat-12x+4-4)=(x+2)(9xpatrat-12x)=3x(x+2)(3x-4)

f)(x-3)(3x-2)patrat-9(x-3)=(x-3)(9xpatrat-12x+4-9)=(x-3)(9xpatrat-12x-5)

Answer 2

e) (x+2)(2x-1)²-4x-8
    (x+2)(2x-1)²-4(x+2)
    (x+2)[(2x-1)²-4]
     (x+2)(4x^2-4x-4)