Question

Fie expresiile 2x la puterea a2a +x+2 si 2x+3.Calculati suma,diferenta si produsul expresiilor date.

Answer 1

[tex]E_1=2 x^{2} +x+2 \\ E_2=2x+3 \\ E_1+E_2=2 x^{2} +x+2+2x+3=2 x^{2} +3x+5 \\ E_1-E_2=2 x^{2} +x+2-(2x+3)=2 x^{2} +x+2-2x-3= \\ =2 x^{2} -x-1 \\ E_1*E_2=(2 x^{2} +x+2)*(2x+3)=2 x^{2} *2x+2 x^{2} *3+x*2x+x*3 \\ +2*2x+2*3=4 x^{3}+6 x^{2} +2 x^{2} +3x+4x+6=4 x^{3} +8 x^{2} +7x+6[/tex]

Answer 2

2x² + x + 2 + 2x + 3 = 2x² + 3x + 5
2x² + x + 2 - (2x + 3) = 2x² + x + 2 - 2x - 3 = 2x² - x - 1
(2x² + x + 2) * (2x + 3) = 4x³ + 2x² + 4x + 6x² + 3x + 6 = 4x³ + 8x² + 7x + 6