1

2.1 , , (). , , . , . . . (), . .. -53 , .... ...... , . ( ), , .. 35z, x, y, z, 9 ( 3+5+1=9). ( ) : , , ,

, , .. 02 , . . 34 -74 , 32 , 32 , . .. 3+2 = .......,23 -73 = ....... , 22+32 . , . , , . , . .. 332 -332

, . .. (223)(-3564z) = ........................

2

, , . ( ). , . , , .

2.2

, . . .

( ) , .

( ) ( ). , , . .. 23+32-5+7 , . ( 23 ), (. 7). , .

2.3

, . .. 22(32+4-5)= .................................................................................

, . .. (2-3)(4+5) = ........................................................................................ , .

3

1. ; ( , ;) 3+ , 37 , 2-1 ,

, (+1) ,

4

2. , . 3 . 22 , 32 , 3. 4 34 , 42 , -434 , 534 , 62 , -44 , 43 , -43 4. , ) 23+53 ) 2+2 ) 23+63 ) 2+ ) 45-75 ) +3 ) 35+42 ) 2- ) 4+34 ) 34-44 ) 22-22 ) 3-33

5. . ) 34-23+52-4+32+4 6. ) (22)(-52) ) (35)(442) ) (-2)(-4) ) (-3)(2) ) 22+32+5-322+22+52-422-

7. , ) 23-4+ ) 2-45+26-4+-3 ) 23+33 422+-+1

8. ) (+3) ) 3(-2) ) 4(2-4) ) 23(2-3) ) 4(3-32+4-2)

9. , . ) (-3)(+2) ) (+3)(+3) ) (2+1)(3-2) ) (2+5+1)(-2) ) (-3)(+2)(-5) ) (2+3)(3+4) ) (2+1)(-2) ) (2+-3)(+2) ) (32+1)(4-2) ) (2-1)(4+2)(-1) ) (2-1)(2+1) ) (2-3)(+2) ) (3-3)(2+2-4) ) (2+4-1)(32-6-2) ) 2(+3)(-4)

4

. :

1. (+)2 = 2 + 2 + 2 2. (-)2 = 2 - 2 + 2 3. (+)(-) = 2 - 2 4. (+)3 = 3 + 32 + 32 + 3 5. (-)3 = 3 - 32 + 32 - 3 6. 3+3 = ( + )(2 - + 2) 7. 3-3 = ( -)(2 + + 2) 8. (++)2 = 2+2+2+2+2+2

, . , .

1. (+3)2 = 2. (-2)2 = 3. (+1)2= 4. (+2/3)2= 5. (+1/)2= 6. (/3+/2)2= 7. (2-3)2= 8. (+2)2= 9. (4-3)2= 10. (+3)(-3) = 11. (2-1)(2+1)= 12. (4-3)(4+3)= 13. (-2/)(+2/)= 14. (/2-/3)(/2+/3)= 15. (+2)3 = 16. (-1)3 = 17. (3-2)3= 18. (/2-3)3

5

. , / . 1. 32(+3)2 - (+3)(-3) (+2)3 =

2.

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

1. . . (-2)2 . (2/3-/4)2 . (+)2 . (+4)2 . (/3+3/4)2 . (3-5)2 . (3+/2)2 (5/ - 4/)2 . ( - 3/)2

. (+8)2

2. . (+ )2 = 2 +......... +9 . ( ....- 5)2 = .......... -6 + 25 .(2 - .....)2 = ....... -12 + ....... . ( ..... +...... )2 = 92 + ......... +162 . (3 - .....)(3 +......) = ........-162 3. . (+8)(-8) . 4. (+2/)(-2/) . . (4-1)(4+1) (/2-/3)(/2+/3) . (-3)( +3) . (/3-/3)(/3+/3)

. (2 +.....)( .....- 3) = .......... 9 . (-3)3 (2+3)3

. (3 - .....)(3 +......) = ........-162 5. . 6. . . . (-2)3 . (+4)3 . (3-2)3 (+)2 + (-)2 + (+)(-) (-2)3 + (3-2)(3+2) - (+1)3 [3-(-2)2]2 +[(-1)2+(+2)2]2

. (-1)(+2)(-3) + (-1)2 - 3(+2)2 . (4-3)2 + (3-4)2 - (5-2)(5+2) . (-1)-(3-)-(-3)(+4)-(-)2

. (2+3)2+(3-2)2 2(2+3)(3-2)

6

. , , . . 1. : +=(+) ( ) , 1. + = 2. 3 - 3 = 3. + = 4. 3 - 6 = 5. 6 - 8 = 6. 7. 8. 9. 2 - 3 = 2 + 3 = 2 + = 23 + 42 =

10. 63 - 152 = 2. : +++=(+)(+) () () , , . ( , ). .

1. 3 + 3 + + =

2. 2 + 6 + 2 + 3 =

3. 3 + 22 + 4 + 8 =

4. + + + =

7

5. 3 - 22 + 2 =

6. 3 32 + 3 - 1 =

7. 4 - 42 + 2 + 4 =

8. 4 + 23 + 2 - 4 =

3. : (+)2 = 2 + 2 + 2 (-)2 = 2 - 2 + 2 ( ) 3 , . , . 1. 2. 3. 4. 5.

2-4+4= 2-2+1= 2+4+4= 2+6+9 = 2-4+9=

4. (+)(-)= 2 - 2

( )

2 , , .

1. 2-4= 2. 2-9= 3. 42-92= 4. 4- 2/9=

8

5. : 2 +(+)+=(+)(+) ( ) : . : 2 +(+)+=(+)(+) 4 , : : -8+15. -8 15. . 15 . (-8), . .. := , = . 2+5+6 + 5 6 2 3 (+2)(+3)

-3 -5 15 -8, . 8+15 : (-3)(-5) , .. +4+7. 2+5-6 + 5 -6 6 -1 (+6)(-1) 2-5-6 + -5 -6 -6 1 (-6)(+1)

2-5+6 + -5 6 -2 -3 (-2)(-3)

:= , = .

2+4+3 +

2-3+2 +

2+4-5 +

2-6-16 +

5. ; , . 1. ( ) ; 2. . 2 . 3 ; . 4 6 3. ; , . : ; ; , ; ;

9

( ) 1.

3 - 62 + 9 = 3 - 52 + 4 =

2.

3.

3 - 4 = 25 - 44 + 23 - 42 =

4.

5.

5 - 16 =

1. : . 5 - 5 . . 122 + 3 2-49 . + . 2 -5 . 92-252 . 2+8+16 . 2+5-6 . 3 6 . 23 + 62 . 6 - 8

. + . 62 - 3 . 2-36 . 2-4+4 . 2-9+8

. 63 - 212 . 6-6 . 2-4+9

. 4- 2/4 . 2-6+9 . 2+8+9

. 2+2+1 . 2-8-9

2. : ) 3+6+12, ) ++--- , ) 64-(3-2), ) 25+40+16, ) 4-20+25 )16-24+32. ) 1-+-3+4-5+6-7 . ) 9(+3) - 16(2-5) . ) -8+15

3. : ) (5-10)(-1)-(7-14)(-1), ) +(2+1)++ ) (++1)2 - (--1)2

4. : ) 9-25 ) 25-4 ) -4+3 ) +5+4 ) -5-14 .

10

1. () . 2. ; .

+1 +4 3 : .......... ( 3)( + 5)

:............................

3. / ; / . . : . .. . +1 + 5 . = 3 + 2

4. ; ( : )

. , .

2 4 = 2 16 2 5 + 6 = 2 6 + 95. ; ) , .

3 + = +1 +1) / .

+1 +2 + = 3 ( 3)) , , / .

+2

+

+4 = +1

11

) , : 1. 2. , , . 3. / 4. . :

1 3 +1 + 2 3 = 2 + 2 4 2 2

1.

.

)

, +1

3+1 , + 2+1 2 1

2 )

3

,

4 +2

,

) ) ( 9 ) ( ) 2.

)

3 6 +2 + 2 3 2 + 3 9 3 2

)

2 3 3 +2 2 2 3 + 2 4 2 2

3.

)

+3 2 + 3

)

9 2 ) 2 3 9 2 2

)

2 2 ) 3 +2 4

)

1 2

12

, .. ) +5=8 , . . . . . . . . . . . ) 2=4 , . . . . . . . . . . . . . . . . . . . . . . . . .

) +3=+3 , . . . . . . . . . . . . . . . . . . . . . . . . ) 2+5=0 , . . . . . . . . . . . . . . . . . . . . . . . . .

1. : ) , / . ) / ) ) . : 0=0 , , 0=5 , . 2. , : ) ( ... )( ... )=0 , : ( ... )=0 ( ... )=0 .. 2-4=0(-4)=0=0 -4=0=0 =4 , =

) 2=2 .. 2=4 =

4 = 2

) 2++=0 :

= 2 4 , :

, 2 - ) =0 , = , ) 0 , 1,2 =

..

2-4+3=0

3.

, :

( : 0 ) .

13

/ , , . ..

1 3 +1 + 2 3 =0 2 + 2 4 2 2

1. 2 - 3 = 0 2. 3 - 4 = 0 3. 2 - 16 = 0 4. 2 +9 = 0 5. 2 - 3 = 0 6. 42 - 1 = 0 7. 3 + 4 = 0 8. 23 - 42 = 0 9. 3 - 42 = 0 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. ) 2 - 6 + 5 = 0 2 - 7 + 6 = 0 2 - 5 + 6 = 0 2 - 5 + 4 = 0 2 - 3 + 2 = 0 2 - - 2 = 0 22- 3 - 2= 0 2 - 6 + 9 = 0 2 - 6 + 10 = 0 (2 - 4)(2 - 1) = 0 ( - 3) - 4( - 3) = 0 ( - 2)2 - ( + 1) + 6 = 0 (+2)-(+2)2+3(-1)+6 = 0

!!!

+2 2 15 + 2 + 2 = 9 3 4 2 + 12 3 x x+ 2 + = 2 x- 1 x+ 1 x -1)

x2 +2 - 4 x = x2 x- 2