A. Calculează a) (3-1/3)×(9/8)²; b) 3/4:(3/4-1/2)-4/9. B.Stabileste dacă relatia (2/3+1/2)²=(2/3)²+(1/2)²+2×2/3×1/2 ste adevarat. Vă rog!!​

Răspuns :

Explicație pas cu pas:

A

a

(³3-1/3)×(9/8)²=(9-1)/3×81/64=8/3×81/64=27/8

b

3/4:(3/4-²1/2)-4/9=3/4:(3/4-2/4)-4/9=3/4:1/4-4/9=

=3/4•4/1-4/9=⁹3-4/9=27/9-4/9=23/9

B

(²2/3+³1/2)²=(2/3)²+(1/2)²+2•2/3•1/2

([4+3)/6]²=(7/6)²=49/36

4/9+1/4+4/3•1/2=⁴4/9+⁹1/4+¹²2/3=

=16/36+9/36+24/36=49/36

este adevărat