Question

1)Desenvolva os produtos notáveis indicados abaixo: a) (5x + 7a)2 = b) (3a + 4)2 = c) (7x + 3)2 = d) (6x + 5y)2 = e) (5x + 6y)2 = f) (2x + 3y)2=

Answer 1

Oie, Td Bom?!

a)

$= (5x + 7a) {}^{2}$

$= (5x) {}^{2} + 2 \: . \: 5x \: . \: 7a + (7a) {}^{2}$

$= 25x {}^{2} + 70ax + 49a {}^{2}$

b)

$= (3a + 4) {}^{2}$

$= (3a) {}^{2} + 2 \: . \: 3a \: . \: 4 + 4 {}^{2}$

$= 9a {}^{2} + 24a + 16$

c)

$= (7x + 3) {}^{2}$

$= (7x) {}^{2} + 2 \: . \: 7x \: . \: 3 + 3 {}^{2}$

$= 49x {}^{2} + 42x + 9$

d)

$= (6x + 5y) {}^{2}$

$= (6x) {}^{2} + 2 \: . \: 6x \: . \: 5y + (5y) {}^{2}$

$= 36x {}^{2} + 60xy + 25y {}^{2}$

e)

$= (5x + 6y) {}^{2}$

$= (5x) {}^{2} + 2 \: . \: 5x \: . \: 6y + (6y) {}^{2}$

$= 25x {}^{2} + 60xy + 36y {}^{2}$

f)

$= (2x + 3y) {}^{2}$

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

$= 4x {}^{2} + 12xy + 9y {}^{2}$

Att. Makaveli1996