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
