Question

1)Calcule os seguintes produtos notáveis abaixo: A)(x+1)2= b) (x – 2)2 = c) (x – 1)3 = d) (2x + 1) . (2x – 1) = e) (2x + 1)3 = f) (5x +2) . (5x – 2) = g) (3x + 1)2 = h) (8x – 3)2 = ME AJUDEM POR FAVOR!!!!

Answer 1

Explicação passo-a-passo:

a)

(x + 1)² = x² + 2.x.1 + 1²

(x + 1)² = x² + 2x + 1

b)

(x - 2)² = x² - 2.x.2 + 2²

(x - 2)² = x² - 4x + 4

c)

(x - 1)³ = x³ - 3.x².1 + 3.x.1² - 1³

(x - 1)³ = x³ - 3x² + 3x - 1

d)

(2x + 1).(2x - 1) = (2x)² - 1²

(2x + 1).(2x - 1) = 4x² - 1

e)

(2x + 1)³ = (2x)³ + 3.(2x)².1 + 3.2x.1² + 1³

(2x + 1)³ = 8x³ + 3.4x².1 + 3.2x.1 + 1

(2x + 1)³ = 8x³ + 12x² + 6x + 1

f)

(5x + 2).(5x - 2) = (5x)² - 2²

(5x + 2).(5x - 2) = 25x² - 4

g)

(3x + 1)² = (3x)² + 2.3x.1 + 1²

(3x + 1)² = 9x² + 6x + 1

h)

(8x - 3)² = (8x)² - 2.8x.3 + 3²

(8x - 3)² = 64x² - 48x + 9

Answer 2

Oie, Td Bom?!

A)

$= (x + 1) {}^{2}$

$= x {}^{2} + 2x \: . \: 1\: . \: 1 {}^{2}$

$= x {}^{2} + 2x + 1$

B)

$= (x - 2) {}^{2}$

$= x {}^{2} - 2x \: . \: 2 + 2 {}^{2}$

$= x {}^{2} - 4x + 4$

C)

$= (x - 1) {}^{3}$

$= x {}^{3} - 3x {}^{2} \: . \: 1 + 3x \: . \: 1 {}^{2} - 1 {}^{3}$

$= x {}^{3} - 3x {}^{2} + 3x - 1$

D)

$= (2x + 1) \: . \: (2x - 1)$

$= (2x) {}^{2} - 1 {}^{2}$

$= 4x {}^{2} - 1$

E)

$= (2x + 1) {}^{3}$

$= (2x) {}^{3} + 3 \: . \: (2x) {}^{2} \: . \: 1 + 3 \: . \: 2x \: . \: 1 {}^{2} + 1 {}^{3}$

$= 8x {}^{3} + 12x {}^{2} + 6x + 1$

F)

$= (5x + 2) \: . \: (5x - 2)$

$= (5x) {}^{2} - 2 {}^{2}$

$= 25x {}^{2} -4$

G)

$= (3x + 1) {}^{2}$

$= (3x) {}^{2} + 2 \: . \: 3x \: . \: 1 + 1 {}^{2}$

$= 9x {}^{2} + 6x + 1$

H)

$= (8x - 3) {}^{2}$

$= (8x) {}^{2} - 2 \: . \: 8x \: . \: 3 + 3 {}^{2}$

$= 64x {}^{2} - 48x + 9$

Att. Makaveli1996