Question

1- Desenvolva os seguintes produtos notáveis:
a. ( x + 10 )2 =
b. ( a + 6 )2=
c. ( y + 8 )2 =
d. ( y +12 )2 =
e. ( m + 8 )2 =
f. ( a + 3 )2=
g. ( x + 20 )2=
h. ( x – 4 )2=
i. ( x – 2 )2=
j. ( y + 7 )2 =

Answer 1

Explicação passo-a-passo:

a)

(x + 10)² = x² + 2.x.10 + 10²

(x + 10)² = x² + 20x + 100

b)

(a + 6)² = a² + 2.a.6 + 6²

(a + 6)² = a² + 12a + 36

c)

(y + 8)² = y² + 2.y.8 + 8²

(y + 8)² = y² + 16y + 64

d)

(y + 12)² = y² + 2.y.12 + 12²

(y + 12)² = y² + 24y + 144

e)

(m + 8)² = m² + 2.m.8 + 8²

(m + 8)² = m² + 16m + 64

f)

(a + 3)² = a² + 2.a.3 + 3²

(a + 3)² = a² + 6a + 9

g)

(x + 20)² = x² + 2.x.20 + 20²

(x + 20)² = x² + 40x + 400

h)

(x - 4)² = x² - 2.x.4 + 4²

(x - 4)² = x² - 8x + 16

i)

(x - 2)² = x² - 2.x.2 + 2²

(x - 2)² = x² - 4x + 4

j)

(y + 7)² = y² + 2.y.7 + 7²

(y + 7)² = y² + 14y + 49

Answer 2

Oie, Td Bom?!

a)

$= (x + 10) {}^{2}$

$= x {}^{2} + 2x \: . \: 10 + 10 {}^{2}$

$= x {}^{2} + 20x + 100$

b)

$= (a + 6) {}^{2}$

$= a {}^{2} + 2a \: . \: 6 + 6 {}^{2}$

$= a {}^{2} + 12a + 36$

c)

$= (y + 8) {}^{2}$

$= y {}^{2} + 2y \: . \: 8 + 8 {}^{2}$

$= y {}^{2} + 16y + 64$

d)

$= (y + 12) {}^{2}$

$= y {}^{2} + 2y \: . \: 12 + 12 {}^{2}$

$= y {}^{2} + 24y + 144$

e)

$= (m + 8) {}^{2}$

$= m {}^{2} + 2m \: . \: 8 + 8 {}^{2}$

$= m {}^{2} + 16m + 64$

f)

$= (a + 3) {}^{2}$

$= a {}^{2} + 2a \: . \: 3 + 3 {}^{2}$

$= a {}^{2} + 6a + 9$

g)

$= (x + 20) {}^{2}$

$= x {}^{2} + 2x \: . \: 20 + 20 {}^{2}$

$= x {}^{2} + 40x + 400$

h)

$= (x - 4) {}^{2}$

$= x {}^{2} - 2x \: . \: 4 + 4 {}^{2}$

$= x {}^{2} - 8x + 16$

i)

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

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

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

j)

$= (y + 7) {}^{2}$

$= y {}^{2} + 2y \: . \: 7 + 7 {}^{2}$

$= y {}^{2} + 14y + 49$

Att. Makaveli1996