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a²+ax-x-1 descompuneți in factori va rog


Răspuns :

[tex] {a}^{2} + ax - x - 1 = [/tex]

[tex]x \times (a - 1) + {a}^{2} - 1[/tex]

[tex]x \times (a - 1) + (a - 1) \times (a + 1) = [/tex]

[tex] = (a - 1) \times (x + a + 1)[/tex]

a

2

+ax−x−1=

x \times (a - 1) + {a}^{2} - 1x×(a−1)+a

2

−1

x \times (a - 1) + (a - 1) \times (a + 1) = x×(a−1)+(a−1)×(a+1)=

= (a - 1) \times (x + a + 1)=(a−1)×(x+a+1)