Question

Desenvolva os quadrados das somas é diferenças:

Answer 1

Explicação passo-a-passo:

a)

(x + 3y)² = x² + 2.x.3y + (3y)²

(x + 3y)² = x² + 6xy + 9y²

b)

(3a + 4b)² = (3a)² + 2.3a.4b + (4b)²

(3a + 4b)² = 9a² + 24ab + 16b²

c)

(9a - 6b)² = (9a)² - 2.9a.6b + (6a)²

(9a - 6b)² = 81a² - 108ab + 36b²

d)

(a - 5y)² = a² - 2.a.5y + (5y)²

(a - 5y)² = a² - 10ay + 25y²

e)

(3xy + 2z)² = (3xy)² + 2.3xy.2z + (2z)²

(3xy + 2z)² = 9x²y² + 12xyz + 4z²

f)

(7a - 4b)² = (7a)² - 2.7a.4b + (4a)²

(7a - 4b)² = 49a² - 56ab + 16b²

Answer 2

Oie, Td Bom?!

a)

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

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

$= x {}^{2} + 6xy + 9y {}^{2}$

b)

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

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

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

c)

$= (9a - 6b) {}^{2}$

$= (9a) {}^{2} - 2 \: . \: 9a \: . \: 6b + (6b) {}^{2}$

$= 81a {}^{2} - 108ab + 36b {}^{2}$

d)

$= (a - 5y) {}^{2}$

$= a {}^{2} - 2a \: . \: 5y + (5y) {}^{2}$

$= a {}^{2} - 10ay + 25y {}^{2}$

e)

$= (3xy + 2z) {}^{2}$

$= (3xy) {}^{2} + 2 \: . \: 3xy \: . \: 2z + (2z) {}^{2}$

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

f)

$= (7a - 4b) {}^{2}$

$= (7a) {}^{2} - 2 \: . \: 7a \: . \: 4b + (4b) {}^{2}$

$= 49a {}^{2} - 56ab + 16b {}^{2}$

Att. Makaveli1996