Question

Desenvolva os produtos notáveis

a) (7-x²y).(7+x²y)=

b) (x³+1).(x³-1)=

c) (mn+1).(mn-1)=

d) (2ab+c²).(2ab-c²)=

e) (2t+1).(2t-1)=

f) (x²+2y).(x²-2y)

Answer 1

Bom dia Rafael!

A)

(7 - x^2y) × (7 - x^2y)
(7 - x^2y)^1 × (7 - x^2y)^1
(7 - x^2y)^1 + 1
(7 - x^2y)^2

B)

(x^3 + 1) × (x^3 - 1)
(x^3)^2 - 1^2
x^6 - 1^2
x^6 - 1

C)

(mn + 1) × (mn - 1)
(mn)^2 - 1^2
m^2n^2 - 1^2
m^2n^2 - 1

D)

(2ab + c^2) × (2ab - c^2)
(2ab)^2 - (c^2)^2
4a^2b^2 - (c^2)^2
4a^2b^2 - c^4

E)

(2t + 1) × (2t - 1)
(2t)^2 - 1^2
4t^2 - 1^2
4t^2 - 1

F)

(x^2 + 2y) × (x^2 - 2y)
(x^2)^2 - (2y)^2
x^4 - (2y)^2
x^4 - 4y^2

Espero ter ajudado!