Răspuns:
[tex]a)[/tex]
[tex]2(x-1)^2+(3x+2)^2-10(x-3)(x+3)-96[/tex]
[tex]2(x^2-2x+1)+9x^2+12x+4-10(x^2-9)-96[/tex]
[tex]2x^2-4x+2+9x^2+12x+4-10x^2+90-96[/tex]
[tex]x^2+8x[/tex]
[tex]b)[/tex]
[tex]E(2^2^0^2^1):4^1^0^1^2[/tex]
[tex]E(2^2^0^2^1)=(2^2^0^2^1)^2+8*2^2^0^2^1[/tex]
[tex]=2^4^0^4^2+2^3*2^2^0^2^1[/tex]
[tex](2^2)^2^0^2^1+2^2^0^2^4[/tex]
[tex]4^2^0^2^1+(2^2)^1^0^1^2[/tex]
[tex]4^2^0^2^1+4^1^0^1^2[/tex]
[tex]4^1^0^1^2(1+4^1^0^0^9)[/tex]
[tex]=> E(2^2^0^2^1):4^1^0^1^2[/tex] este adevarat