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MA PUTETI AJUTA CU UN EXERCITIU....
a) (2x-1)(x la 2 + X- 3)-(x+3)(2xla 2) -xla 2 -x-5)
b) (x-5)(3x la 2 +x+1)+(x la2 - 1)(-3x+16)
c) (x la 2-x+1)(x la 2 -3x +2)+(x la2 +2x+1)(x la 2 -x+4)
d) (2x la 2 +x+ 7)(x-x la2 -1 )+(x la2 +2x+3)(x-2x la2+5) MULTUMESC!!!! CN DA PRIMUL IL DAU CA CASTIGATOR !


Răspuns :

[tex]a).(2x-1)(x^2+x-3)-(x+3)(2x^2-x^2-x-5)= \\ (2x-1)(x^2+x-3)-(x+3)(x^2-x-5)= \\ =2x^3+2x^2-6x-x^2-x+3-(x^3-x^2-5x+3x^2-3x-15)= \\ =2x^3+2x^2-6x-x^2-x+3-x^3+x^2+5x-3x^2+3x+15= \\ =x^3-x^2+x+18[/tex]
[tex]b).(x-5)(3x^2+x+1)+(x^2-1)(-3x+16)= \\ =3x^3+x^2+x-15x^2-5x-5-3x^3+16x^2+3x-16= \\ =2x^2-x-21[/tex]
[tex]c).(x^2-x+1)(x^2-3x+2)+(x^2+2x+1)(x^2-x+4)= \\ =x^4-3x^3+2x^2-x^3+3x^2-2x+x^2-3x+2+x^4-x^3+4x^2+ \\ +2x^3-2x^2+8x+x^2-x+4=2x^4-3x^3+9x^2+2x+6[/tex]
[tex]d).(2x^2+x+7)(x-x^2-1)+(x^2+2x+3)(x-2x^2+5)= \\ =2x^3-2x^4-2x^2+x^2-x^3-x+7x-7x^2-7+x^3-2x^4+5x^2+ \\ +2x^2-4x^3+10x+3x-6x^2+15=-4x^4-2x^3-7x^2+19x+8[/tex]