Question

Desenvolva os seguintes produtos notáveis abaixo :

A) (2 + 9x)² =

B) ( 10 a - bc ) ( 10 a + bc ) =

C) (x² + 2 a ) ² =

D) ( m-n ) ² =

E) ( 9y + 4 ) ( 9y - 4 ) =

Answer 1

Oie, Td Bom?!

A)

$= (2 + 9x) {}^{2}$

$= 2 {}^{2} + 2 \: . \: 2 \: . \: 9x + (9x) {}^{2}$

$= 4 + 36x + 81x {}^{2}$

$= 81x {}^{2} + 36x + 4$

B)

$= (10a - bc) \: . \: (10a + bc)$

$= (10a) {}^{2} - (bc) {}^{2}$

$= 100a {}^{2} - b {}^{2} c {}^{2}$

C)

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

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

$= x {}^{4} + 4ax {}^{2} + 4a {}^{2}$

D)

$= (m - n) {}^{2}$

$= m {}^{2} - 2mn + n {}^{2}$

E)

$= (9y + 4) \: . \: (9y - 4)$

$= (9y) {}^{2} - 4 {}^{2}$

$= 81y {}^{2} - 16$

Att. Makaveli1996