Question

Resolva os produtos notáveis
A)(x+2)(x-2)=
B)(2a+b)^2-(a-b)^2=
C)(X+5)(x+3)=
D)x(2x-1)+x (1-3x)=
E)(3x+y)(3x-y)=
F)(x+y)^2-(x+y)^2=

Answer 1

A)
= (x+2)(x-2)
= x^2 - 2^2
= x^2 - 4

B)
= (2a+b)^2 - (a - b)^2
= 4a^2 + 2.2a.b + b^2 - (a^2 - 2ab + b^2)
= 4a^2 + 4ab + b^2 - a^2 + 2ab - b^2
= 3a^2 + 6ab

C)
= (X+5)(x+3)
= x^2 + 3x + 5x + 15
= x^2 + 8x + 15

D)
= x(2x-1)+x (1-3x)
= 2x^2 - x + x - 3x^2
= - x^2

E)
= (3x+y)(3x-y)
= (3x)^2 - y^2
= 9x^2 - y^2

F)
= (x+y)^2 - (x+y)^2
= x^2 + 2xy + y^2 - (x^2 + 2xy + y^2)
= x^2 + 2xy + y^2 - x^2 - 2xy - y^2
= 0