Question

Calcule os produtos notáveis
a) (z+8)2
b) (4a+c) (4a-c)
c) (3d+y) (3d-y)
d) ( s+t)2
e) (6x-9y)2
f) (x-4)2
g) (7x+5)2
h) ( a-b)2
i) ( a+4) (a-4)
j) (3c+8d)2

Answer 1

Resolvendo os produto notaveis
A) (z + 8)^2
=> (z)^2 + 2(z)(8) + (8)^2
=> x^2 + 16z + 64

B) (4a + c) (4a - c)
=> 16a^2 - 4ac + 4ac - c^2
=> 16a^2 - c^2

C) (3d + y) (3d - y)
=> 9d^2 - 3dy + 3dy - y^2
=> 9d^2 - y^2

D) (s + t)^2
=> (s)^2 +2(s)(t) + (t)^2
=> s^2 + 2st + t^2

E) (6x - 9y)^2
=> (6x)^2 + 2(6x)(9y) - (9y)^2
=> 36x^2 + 12x(9y) - 81y^2
=> 36x^2 + 108xy - 81y^1

F) (x - 4)^2
=> (x)^2 + 2(x)(4) + (4)^2
=> x^2 + 8x + 16

G) (7x - 5)^2
=> (7x)^2 + 2(7x)(5) - (5)^2
=> 49x^2 + 14x(5) - 25
=> 49x^2 + 70x - 25

H) (a - b)^2
=> (a)^2 + 2 (a)(b) - (b)^2
=> a^2 + 2ab - b^2

I) (a + 4) (a - 4)
=> a^2 - 4a + 4a - 16
=> a^2 - 16

J) (3c + 8d)^2
=>(3c)^2 + 2(3c)(8d) + (8d)^2
=> 3c^2 + 6c(8d) + 64d^2
=> 3c^2 + 48cd + 64d^2