Question

99 puncte va rog repede !!!!!!Scoateti mai intai factor comun apoi descompuneti in factori urmatoarele expresii : a) x^3-9x b)a^3-a c)9x^3-4x d)7x^2-7 e)13ax^2-13a f)3x^3-12x g)3x^2+6x+3 h)5x^2-20x+20 i)3x^3+18x^2+27x POZA SAU EX COMPLET

Answer 1

[tex]a)x^3-9x=x(x^2-9)=x(x-3)(x+3)\\ b)a^3-a=a(a^2-1)=a(a-1)(a+1)\\ c)9x^3-4x=x(9x^2-4)=x(3x-2)(3x+2)\\ d)7x^2-7=7(x^2-1)=7(x-1)(x+1)\\ e)13ax^2-13a=13a(x^2-1)=13a(x-1)(x+1)\\ f)3x^3-12x=3x(x^2-4)=3x(x-2)(x+2)\\ g)3x^2+6x+3=3(x^2+2x+1)=3(x+1)^2\\ h)5x^2-20x+20=5(x^2-4x+4)=5(x-2)^2\\ i)3x^3+18x^2+27x=3x(x^2+6x+9)=3x(x+3)^2[/tex]