Question

Obtenha o resultado, do quadrado da soma dos dois termos, em cada caso:

a) (a + 5)2 = __________________________________________________________

b) (x + 3)2 =__________________________________________________________

c) (y + 10)2=__________________________________________________________

d) (2x + y)2= _________________________________________________________

e) (3a + 4)2= _________________________________________________________

f) (5 + 3x)2=__________________________________________________________

g) (3a2 + 1)2=_________________________________________________________

h) (x2 + a2)2​

Answer 1

Explicação:

(a + 5)2 =

(a + 5) ( a+ 5)

$a^{2}$ + 5a + 5a +25

$a^{2}$ + 10a + 25

b) (x + 3)2

(x + 3) (x + 3)

$x^{2} + 3x + 3x + 9 \\x^{2} + 6x + 9$

c) (y + 10)2=

(y + 10) (y + 10)

$y^{2} + 10y + 10y + 100\\y^{2} + 20y + 100$

d) (2x + y)2=

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

$4x^{2} + 2xy + 2xy + y^{2} \\4x^{2} + 4xy + y^{2}$

e) (3a + 4)2=

(3a + 4) (3a + 4)

$9a^{2} + 12a + 12a + 16\\9^{2} + 24a + 16$

f) (5 + 3x)2=

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

$25 + 15x + 15x + 9x^{2} \\25 + 30x + 9x^{2}$

g) (3a2 + 1)2=

$(3a^{2} + 1) (3a^{2} + 1)\\9a^{4} + 3a^{2} + 3a^{2} + 1\\9a^{4} + 6a^{2} + 1$

h) $(x^{2} + a^{2}) (x^{2} + a^{2}) \\x^{4} + a^{2} x^{2} + a^{2} x^{2} + a^{4} \\x^{4} + 2a^{2} x^{2} + a^{4}$