Question

Calcule:

1) a) (a+y)² e) (a+3x)²

b) (a+7)² f) (xy+5)²

c) (3x+1)² g) (3m²+4n)²

d) (10y+x)² h) (xy+p³)²


2) a) (x+9)•(x-9) e) (5x-2y)•(5x+2y)

b) (m-3)•(m+3) f) (m²-5)•(m²+5)

c) (2a-5)•(2a+5) g) (p³-3)•(p³+3)

d) (3x+5)•(3x-5) h) (a²+b⁵)•(a²-b⁵)

Preciso pra hj pvff

Answer 1

a) (x+2y)²=

(x + 2y)²  

(x + 2y)(x + 2y) =

x² + 2xy + 2xy + 4y²

x² + 4xy + 4y²

b) (y-6)²=

(y - 6)² =

(y - 6)(y - 6) =

y² - 6y -6y + 36

y² - 12y + 36

c) (3x³y+3xy³).(3x³y-3xy³)=   ?????

(3x³y + 3xy³)(3x³y- 3xy³) =  

9x⁶y² - 9x⁴y⁴ + 9x⁴y⁴ - 9x²y⁶

9x⁶y²             0           - 9x²y⁶

9x⁶y²  - 9x²y⁶

d) (a+9)²=

e) (x+9)²=

(x + 9)²

(x + 9)(x + 9)  

x² + 9x + 9x + 81

x² + 18x + 81

f) (12+x)²=

(12 + x)² =

(12 + x)(12 + x) =  

144 + 12x + 12x + x²

144 + 24x + x²

g) (x+m)²=

(x + m)²

(x + m)(x + m) =

x² + xm + xm + m²  

x² + 2xm + m²

h) (3x+10)²=

(3x + 10)² =

(3x + 10)(3x + 10) =

9x² + 30x + 30x + 100

9x² + 60x + 100

i) (5x+8y)²=

(5x + 8y)² =

(5x + 8y)(5x + 8y) =

25x² + 40xy + 40xy + 64y²

25x² + 80xy + 64y²

j) (3x²+2y³)²=

(3x² + 2y³)² =

(3x² + 2y³)(3x² + 2y³) =

9x⁴ + 6x²y³ + 6x²y³ + 4y⁶  

9x⁴ + 12x²y³ + 4y⁶

k) ( x+xy)²=

(x + xy)²

(x + xy)(x + xy) =

x² + x²y + x²y + x²y²

x² + 2x²y + x²y²

l) (2a-3b)²=

(2a - 3b)² =

(2a - 3b)(2a - 3b) =

4a² - 6ab - 6ab + 9b²

4a² - 12ab + 9b²

m) (1-b)²=

( 1 - b)² =

(1 - b)(1 - b) =

1 - 1b - 1b + b²

1 - 2b + b²

n) ( 8x²-2a)²=

(8x² - 2a)² =

(8x² - 2a)(8x² - 2a) =

64x⁴ - 16ax² - 16ax² + 4a²

64x⁴ - 32ax² + 4a²

o) (3x²-2a)²=

(3x² - 2a)² =

(3x² - 2a)(3x² - 2a) =

9x⁴ - 6ax² - 6ax² + 4a²

9x⁴ - 12ax² + 4a²

p) (x+9) .(x-9)=    

(x + 9)(x - 9)

x² - 9x + 9x - 81

x²        0      - 81

x² - 81

q) (y+7).(y-7)=

( y + 7)( y - 7)=

y² - 7y + 7y - 49

y²        0      - 49

y² - 49

r) (a+5).(a-5)=

(a + 5)(a - 5) =

a² - 5a + 5a - 25

a²         0     - 25

a² - 25

 

s) ( 4+a).(4-a)=

( 4 + a)(4 - a) =16 - 4a + 4a - a²

16       0       - a²

16 - a²

espero ter ajudado ^^