Question

1) calcule os produtos

Answer 1

a) 3.(x + y) = 3x + 3y

b) 7.(x - 2y) = 7x - 14y

c) 2x.(x + y) = 2x² + 2xy

d) 4x.(a + b) = 4xa + 4xb

e) 2x.(x² - 2x + 5) = 2x³ - 4x² + 10x

f) (x + 5).(x + 2) = x² + 2x + 5x + 10 = x² + 7x + 10

g) (3x + 2).(2x + 1) = 6x² + 3x + 4x + 2 = 6x² + 7x + 2

h) (x + 7).(x - 4) = x² - 4x + 7x - 28 = x² + 3x - 28

i) (3x + 4).(2x - 1) = 6x² - 3x + 8x - 4 = 6x² + 5x - 4

j) (x - 4y).(x - y) = x² - xy - 4xy + 4y² = x² - 5xy + 4y²

k) (5x - 2).(2x - 1) = 10x² - 5x - 4x + 2 = 10x² - 9x + 2

l) (3x + 1).(3x - 1) = 9x² - 3x + 3x - 1 = 9x² - 1

m) (2x + 5).(2x - 5) = 4x² - 10x + 10x - 25 = 4x² - 25

n) (6x² - 4).(6x² + 4) = 36x⁴ + 24x² - 24x² - 16 = 36x⁴ - 16

o) (3x² - 4x - 3).(x + 1) =

3x³ + 3x² - 4x² - 4x - 3x - 3 =

3x³ - x² - 7x - 3

p) (x² - x - 1).(x - 3) =

x³ - 3x² - x² + 3x - x + 3 =

x³ - 4x² + 2x + 3

q) (x - 1).(x - 2).(x - 3) =

(x² - 3x + 2).(x - 3) =

x³ - 3x² - 3x² + 9x + 2x - 6 =

x³ - 6x² + 11x - 6

r) (x + 2).(x - 1).(x + 3) =

(x² - x + 2).(x + 3) =

x³ + 3x² - x² - 3x + 2x + 6 =

x³ + 2x² - x + 6

s) (x³ - 2).(x³ + 8) = x⁶ + 8x³ - 2x³ - 16 = x⁶ + 6x³ - 16

t) (x² + 2).(x² + 6) = x⁴ + 6x² + 2x² + 12 = x⁴ + 8x² + 12