Question

1- Resolva os produtos notáveis:
a) (x + 3)2 =
b) ( x + 34)2 =
c) ( 2a + b)2 =
d) (x + 3y)2 =
e) (x2 + 4)2 =
f) ( a + 5)2 =
f) ( x3 + 3)2 =

Answer 1

Resposta:

$a) \: ( x \: + 3).(x \: + 3) = x {}^{2} + 2.(x).(3) + (3) {}^{2} = x {}^{2} + 6x + 9$

$b) \: (x\:+ 34).(x + 34) = x {}^{2} + 2.(x).(34) + (34) {}^{2} = {x}^{2} + 68$

$c) \: (2a\:+ b).(2a + b) = (2a) {}^{2} + 2.(2ab) + (b {)}^{2} = 4 {a}^{2} + 4ab \: + {b}^{2}$

$d) \: (x + 3y).(x + 3y) = {x}^{2} + 2.(x).(3y) + (3y {)}^{2} = {x}^{2} + 6xy \: + 9 {y}^{2}$

$e) \: (x2 + 4).(x2 + 4) = 2 {x}^{2} + 2.(x2).(4) + (4 {)}^{2} = 4 {x}^{2} + 16x + 16$

$f) \: (a + 5).(a + 5) = {a}^{2} + 2.(a).(5) + (5 {)}^{2} = {a}^{2} + 10x \: + 25$

$g) \: (x3 + 3).(x3 + 3) = 3 {x}^{2} + 2.(3x).(3) + (3 {)}^{2} = 9 {x}^{2} + 18x \: + 9$