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Rezultatele calculeleor :
a.)(2x -[tex] \frac{1}{2} [/tex])²+(3x+1)²-([tex] \frac{2}{3}[/tex]x-5)·([tex] \frac{2}{3}[/tex]x+5)
b.)(√3x+1)²+2(√5x+1)·(√5x-1)-(√3x-2)²
Multumesc !


Răspuns :

a.)(2x -1/2)²+(3x+1)²-(2/3x-5)·(2/3x+5)=
=4x²-2x+1/4+9x²+6x+1-4/9x²+25=
=13x²+4x+5/4-4/9x²+25=
=(468x²+144x+45-16x²+900)/36=
=(452x²+144x+945)/36=
=113x²/9+4x+105/4
=12,(5)x²+4x+26,25

b.)(√3x+1)²+2(√5x+1)·(√5x-1)-(√3x-2)²=

=(3x+1+2√3x)+2(5x-1)-(3x+4-4√3x)=
=3x+1+2√3x+10x-2-3x-4+4√3x)=
=6√3x+10x-5