Question

Desenvolva os produtos notáveis a seguir:

A) (2x +5)² =
B) (3x -2)² =
C) (5x +7) (5x - 7) =
D) (x + 2) ( x + 10) =
E) (x + 4)³ =

Answer 1

Oie, Td Bom?!

A)

$= (2x + 5) {}^{2}$

$= (2x) {}^{2} + 2 \: . \: 2x \: . \: 5 + 5 {}^{2}$

$= 4x {}^{2} + 20x + 25$

B)

$= (3x - 2) {}^{2}$

$= (3x) {}^{2} - 2 \: . \: 3x \: . \: 2 + 2 {}^{2}$

$= 9x {}^{2} - 12x + 4$

C)

$= (5x + 7) \: . \: (5x - 7)$

$= (5x) {}^{2} - 7 {}^{2}$

$= 25x {}^{2} - 49$

D)

$= (x + 2) \: . \: (x + 10)$

$= x \: . \: (x + 10) + 2(x + 10)$

$= x {}^{2} + 10x + 2x + 20$

$= x {}^{2} + 12x + 20$

E)

$= (x + 4 ){}^{3}$

$= x {}^{3} + 3x {}^{2} \: . \: 4 + 3x \: . \: 4 {}^{2} + 4 {}^{3}$

$= x {}^{3} + 12x {}^{2} + 3x \: . \: 16 + 64$

$= x {}^{3} + 12x {}^{2} + 48x + 64$

Att. Makaveli1996