Răspuns :

Răspuns:

Explicație pas cu pas:

g)

5/18 + 14/9 : 7/3 + 1/2 : 9 = 5/18 + 14/9*3/7 + 1/2*1/9 = 5/18 + 2/3 + 1/18

= (5/18 + 1/18) + 2/3 = 6/18 + 2/3 = 1/3 + 2/3 = 3/3 = 1

h)

x/(x + 1) + x/(x^2 + x) = x/(x + 1) + x/x(x + 1) = x/(x + 1) + 1/(x + 1) = (x + 1)/(x + 1) = 1

pentru x ≠ 0 si x ≠ -1 (conditii ca sa poti simplifica cu x si x+1)

i)

1/(2a +1)*(4a + 2)/3 = 1/(2a + 1) * 2(2a + 1)/3 = 2/3

pentru a ≠ -1/2

g) 5/18+14/9:7/3+1/2:9=

=5/18+14/9×3/7+1/2×1/9=

=5/18+2/3+1/18=

=6/18+2/3=

=1/3+2/3=

=3/3=1

b) x/(x+1)+x/(x²+x)=

=x/(x+1)+x/x(x+1)=

=x²/x(x+1)+x/x(x+1)=

=(x²+x)/x(x+1)=

=x(x+1)/x(x+1)=1

i) 1/(2a+1)×(4a+2)/3=

=1/(2a+1)×2(2a+1)/3=2/3

ID Alte intrebari