, , , . . , , , , , , . , , , - ( ), , .
, , . , . . :
1) 0, 1,2, 3, 4, 5, 6, 7, 8, 9; ;
2) +, -, ∙,:;
3) <, >, =, ;
4) , ;
5) (, .), .
, , , - , , , .
, 3 + 7, 24:8, 3∙2-4, (25 + 3) ∙2-17 . , . , , , . , 3∙2-4 2.
, . , . , 8: (4 - 4) , : 4 - 4 = 0, . 7-9, , 7-9 .
1 + 3. , . , :
=7, 2∙7 + 3;
= 0, 2∙0 + 3;
= - 4, 2∙ (-4) + 3.
1 + 3 , 2 + 3 - .
, , . , . : 2∙ + 3.
, , . . , 5:(-7) , 7, - 7 5: (7 - 7) .
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, , . , 2 + 3 - , (3+8y) ∙z - . , , .
, , . , - .
, , , : (3 + 2)) - 12 3 - :+)8, , . , - , . ( ).
. f g - , (f)+(g), (f)-(g), (f)∙(g) (f):(g) . , .
, , , (7) + (5) (6): (2). , , . , , . , : 37-12 + 62-17+13 120:15 ∙ 7:12.
, ( ), ( ). (12 ∙ 4:3)+ (5 ∙ 8:2 ∙ 7) : 12 ∙ 4:3 + 5 ∙ 8: 2 ∙ 7.
. 3(-2) + 4(-2) = 6.
.
1 . 6 : 3 ∙ 6 ∙ (6-2) + 4 ∙ (6-2). , :
3 ∙ 6 ∙ (6-2) + 4 ∙ (6-2)= 18 ∙ 4 + 4 ∙ 4 = 72+ 16 = 88.
, = 6 3x(x-2)+4(x-2) 88.
2 . 6 , : 3(-2) + 4(-2) = (x-2)(3x+4). , 6, :
(6-2) ∙ (3 ∙ 6 + 4) = 4 ∙ (18 + 4) = 4 ∙ 22 = 88.
: , . , 18 ∙ 4+4 ∙ 4 72+16, 3(-2) + 4(-2) - ( - 2)(3 + 4), . , , , .
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. , .
5(+ 2) 5 + 10, .
, , .
5( + 2) = 5 + 10 - , 5( + 2) 5 + 10 . , : ( x R) 5(x + 2) = 5 + 10. .
, , .
, 5( + 2) 5 + 10, . , , ? , ? . , , ? , - , .
.
. ax-bx+ab-b2.
. ( , ): ax-bx+ab-b2 = (ax-bx)+(ab-b2). .
: (ax-bx) + (ab-b2) = x(a-b) + b(a-b)- .
, : x(a-b)+b(a-b) = (a-b)(x-b). .
, ax-bx+ab-b2 = (a-b)(x-b).
, , .
, : , , . , 35-4, : 35-4 = (30 + 5)4 = 30-4+5-4 = 120 + 20 = 140. ; (35 = 30 + 5); .