Question

22.efectuati calculele​

Answer 1

Răspuns:

1 r3-r2/2

2 3(r2-1)(r3+1)/2

3  1

Explicație pas cu pas:

1 ,  2 ,  3  = rationalizam numitorii

1  ((r6-r5)/(6-5) + (r5-r4)/(5-4) + (r3-r2)/(3-2))/ (r3-1)   =

   (r6 -r2)*(r3+1) / (3-1) = (r12 -r6+r6-r2) / 2= r3-r2/2

2   ((6(3r2-2r3)/(18-12) + 3(2r3-3)/(12-9))/(r3-1) = (3r2-2r3+2r3-3) / (r3-1) =

     (3r2-3)(r3+1) / (3-1)  =  (3(r2-1)(r3+1)) / 2

3   ((5(r8-r3)/(8-3) + 2(r3-1)/(3-1)) / (r18/3 + r50/5 + r16/4) =

     (r8-r3+r3-1)/ (3r2/3+5r2/5-4/4)  = (r8-1)*(2r2+1) / (8-1) = (4*2-1)/7 =1