Question

Calcule os produtos notáveis: ²
a) ( x + 2 )³
b) ( x - 4 )²
c) ( 6x^5 - 3 )²
d) (4x^6 + 2)²

Answer 1

a) (x + 2)^3 =

(x + 2) . (x + 2) =

= x^2 + 2x + 2x + 4

= x^2 + 4x + 4 .(x + 2)

= x^3 + 6x^2 + 12x + 8



b) (x - 4)^2 =

(x - 4) . (x - 4) =

= x^2 -4x -4x + 16

= x^2 - 8x + 16



c) (6x^5 - 3)^2 =

(6x^5 - 3) . (6x^5 - 3) =

= 36x^10 -18x^5 -18x^5 + 9

= 36x^10 -36x^5 + 9




d) (4x^6 + 2)^2 =

(4x^6 + 2) . (4x^6 + 2)

= 16x^12 + 8x^6 + 8x^6 + 4

= 16x^12 + 16x^6 + 4

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