Matematica basica

Disciplina: Matemática Basica
Lista de Exercícios 1
Calcule os produtos notáveis:
1.(x + y) . ( x - y) =

19.(3x² - 4 ) ( 3x² + 4) =

2.( 5 – x)² =

20.(5x² - 1)² =

3.(3 + x)² =

21.(3x² - y²) . ( 3x² + y²) =

4.(y – 7 ) . (y + 7) =

22.(x – 5y³)² =

5.(y – 3)² =

23.(3y + 3x)² =

6.(x + 3) . (x – 3) =

24.(2x + xy)² =

7.(x + 5)² =

25.(2m⁵ - 3)² =

8.( x + y)² =

26.(x + 1/2 ) . ( x – 1/2 ) =

9.(2x + 5 ) . (2x – 5) =

27.(9x² - 1)² =

10.(3x – 2 ) . ( 3x + 2) =

28.(a² + b²)² =

11.(2x – 5) ² =

29.( x + 2y³)² =

12.(5x + 4 ) . (5x – 4) =

30.( 2x + ½)² =

13.(6y – 4)² =

31.(x – 2/3) . ( x + 2/3) =

14.( 3x + 2)² =

32.( x/4 + 2/3) . ( x/4 – 2/3) =

15.(7 – 6x) . ( 7 + 6x) =

33.( x/2 +y/2)² =

16.(1 + 7x²) . ( 1 – 7x²) =

34.(y³ + 3)² =

17.(3x – 2y)² =

35.(-5 + n)² =

18.(2x – b)² =

36.(-3x + 5)² =

Gabarito:
123456-

x² - y²
25 – 10x + x²
9 + 6x +x² x² - 49 y² - 6y + 9 x² - 9

7- x² + 10x + 25
8- x² + 2xy +y²
9- 4x² - 25
10- 9x² - 4
11- 4x² - 20 x + 25
12- 25x² - 16
13- 36y² - 48y + 16

14- 9x² + 12x +4
15- 49 - 36x²
16- 1 - 49x²
17- 9x² - 12xy + 4y²
18- 4x² - 4xb + b²
19- 9x4 - 16
20- 25x4 – 10x2 + 1

21- 9x4 – y4
22- x² - 10xy3 + 25y6
23- 9y² + 18xy + 9x²
24- 4x² + 4x2y + x2y²
25- 4m10 – 12m5 + 9
26- x² - ¼
27- 81x4 - 18x2 + 1

28- a4 + 2a2b2 + b4
29- x² + 4xy3 + 4y6
30- 4x² + 2x + ¼
31- X4 – 4/9
32- X2/16 – 4/9
33- x² /4 + xy/2 + y²/4 34- y6 + 6y3 + 9
35- (n -5)²= n2 -10n
+ 25
36(5 -3x)²= 25 –
30x +9x2