Question

1) Calcule os seguintes produtos notáveis:
a) (3 + x)² =
b) (x + 5)² =
c) (x + y)² =
d) (x + 2)² =
e) (3x + 2)² =
f) (2x + 1)² =
g) ( 5+ 3x)² =
h) (2x + y)² =
i) (r + 4s)² =


tem como colocar o cálculo prfvr​

Answer 1

a)

(x + 3)²

(x + 3)(x + 3)

x² + 3x + 3x + 9

x² + 6x + 9

b)

(x + 5)(x + 5)

x² + 5x + 5x + 25

x² + 10x + 25

c)

(x + y)²

(x + y)(x + y)

x² + xy + xy + y²

x² + 2xy + y²

d)

(x + 2)²

(x + 2)(x + 2)

x² + 2x + 2x + 4

x² + 4x + 4

e)

(3x + 2)²

(3x + 2)(3x + 2)

9x² + 6x + 6x + 4

9x² + 12x + 4

f)

(2x + 1)(2x + 1)

4x² + 2x + 2x + 1

4x² + 4x + 1

g)

(3x + 5)²

(3x + 5)(3x + 5)

9x² + 15x + 15x + 25

9x² + 30x + 25

h)

(2x + y)²

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

4x² + 2xy + 2xy + y²

4x² + 4xy + y²

i)

(r + 4s)²

(r + 4s)(r + 4s)

r² + 4rs + 4rs + 16s²

r² + 8rs + 16s²

Resposta:

a) x² + 6x + 9

b) x² + 10x + 25

c) x² + 2xy + y²

d) x² + 4x + 4

e) 9x² + 12x + 4

f) 4x² + 4x + 1

g) 9x² + 30x + 25

h) 4x² + 4xy + y²

i) r² + 8rs + 16s²

Answer 2

Explicação passo-a-passo:

(a + b)² = a² + 2ab + b²

a)

(3 + x)² = 3² + 2.3.x + x²

(3 + x)² = 9 + 6x + x²

b)

(x + 5)² = x² + 2.x.5 + 5²

(x + 5)² = x² + 10x + 25

c)

(x + y)² = x² + 2.x.y + y²

(x + y)² = x² + 2xy + y²

d)

(x + 2)² = x² + 2.x.2 + 2²

(x + 2)² = x² + 4x + 4

e)

(3x + 2)² = (3x)² + 2.3x.2 + 2²

(3x + 2)² = 9x² + 12x + 4

f)

(2x + 1)² = (2x)² + 2.2x.1 + 1²

(2x + 1)² = 4x² + 4x + 1

g)

(5 + 3x)² = 5² + 2.5.3x + (3x)²

(5 + 3x)² = 25 + 30x + 9x²

h)

(2x + y)² = (2x)² + 2.2x.y + y²

(2x + y)² = 4x² + 4xy + y²

i)

(r + 4s)² = r² + 2.r.4s + (4s)²

(r + 4s)² = r² + 8rs + 16s²