Оцінити значення виразів, якщо 3,3<√11<3,4: а)3√11 б)-2√11 в)3-√11​

1)12a²b³+3a³b²+16b²-a²=3a²b²(4b+a) + (4²b² - a²)=3a²b²(4b+a)+(4b-a)(4b+a)=
   
= (4b+a)(3a²b² + 4b- a)

2) 49c² -14c+1 -21ac+3a =  (49c²-14c+1) -3a(7c - 1) = (7c - 1)²  - 3a(7c - 1) =

=(7c-1)(7c - 1 - 3a)

3)ax²+ay²+x^4+2x²y²+y^4 = a(x²+y²)+(x^4+2x²y²+y^4) = a(x²+y²) +(x²+y²)²=

   = (x²+y²) (a +x²+y²)

4)  27c³-d³+9c²+3cd+d² = [(3c)³-d³]+ (9c²+3cd+d²) =

=[(3c - d)(9c²+3cd+d²)] + (9c²+3cd+d²) = (9c²+3cd+d²) (3c-d+1)

5) b³-2b²-2b+1 =(b³ + 1) - 2b( b+1) = (b+1)(b² -b+1) - 2b(b+1) =

  = (b+1)(b² -b+1-2b) = (b+1)(b² -3b+1)

51²-41²=(51-41)*(51+41)=10*92=920
63²-53²=(63-53)*(63+53)=10*116=1160
117²-17²=(117-17)*(117+17)=100*134=13400
164²-64²=(164-64)*(164+64)=100*228=2280
125²-25²=(125-25)*(125+25)=100*150=15000
14²-86²=(14-86)*(14+86)=(-72)*100=-7200
37²-63²=(37-63)*(37+63)=(-26)*100=-2600
81²-19²=(81-19)*(81+19)=62*100=6200
77²-23²=(77-23)*(77+23)=54*100=5400
68²-32²=(68-32)*(68+32)=36*100=3600
55²-53²=(55-53)*(55+53)=2*108=216
41²-21²=(41-21)*(41+21)=20*62=1240
35²-55²=(35-55)*(35+55)=(-20)*90=-1800
22²-42²=(22-42)*(22+42)=(-20)*64=-1280