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Model:
3x²+5x+2=3x²+3x+2x+2=3x(x+1)+2(x+1)(3x+2)

Exercitii:
2x²+7x+5=

5x²-7x+5=

4x²-5x+1=

Mă poti ajuta



Răspuns :

2x² +2x + 5x +5 = 2x(x+1) +5(x+1) = (x+1)(2x+5)
cred că expresia este 5x² -7x +2 = 5x² - 5x - 2x +2 = 5x(x-1)-2(x-1) = (x-1)(5x-2)
4x² -5x +1 = 4x² -4x -x+1 = 4x(x-1) - (x-1) = (x-1)(4x-1)
[tex]2x^2+7x+5=[/tex]
[tex]=2x^2+2x+5x+5=[/tex]
[tex]=2x(x+1)+5(x+1)=[/tex]
[tex]=(2x+5)(x+1)[/tex]

[tex]4x^2-5x+1=[/tex]
[tex]=4x^2-4x-x+1[/tex]
[tex]=4x(x-1)-(x-1)=[/tex]
[tex]=(x-1)(4x-1)[/tex]

[tex]5x^2-7x+2=[/tex]
[tex]=5x^2-5x-2x+2=[/tex]
[tex]=5x(x-1)-2(x-1)[/tex]
[tex]=(x-1)(5x-2)[/tex]