Question

desenvolva os produtos notáveis.
a)
$(a + b)^{2}$
b)
$(a + b)(a - b)$
c)
$(3 \times + 2) .(3 \times - 2)$
d)
$(a - b) ^{2}$
e)
$(3 \times - 2y) ^{2}$
f)
$(5x + 3y) ^{2}$

Answer 1

a) (a + b) . (a + b)

a² + ab + ab + b²

a² + 2ab + b²

b) (a + b) . (a - b)

a² - ab + ab - b²

a² - b²

c) (3x + 2) . (3x - 2)

9x² - 6x + 6x - 4

9x² - 4

d) (a - b) . (a - b)

a² - ab - ab + b²

a² - 2ab + b²

e) (3x - 2y) . (3x - 2y)

9x² - 6xy - 6xy + 4y²

9x² - 12xy + 4y²

f) (5x + 3y) . (5x + 3y)

25x² + 15xy + 15xy + 9y²

25x² + 30xy + 9y²

Answer 2

a

( a +b)² = [ (a)² + 2 * a * b + (b)² ] =a² + 2ab + b²

b

( a + b) ( a - b) = [ (a)² - (b)²] = a² - b² ****

c

( 3x + 2) ( 3x - 2 ) = [ (3x)² - (2)² ] = 9x² - 4 ****

d

( a - b)² = [ (a)² - 2 * a * b + (b)²] = a² - 2ab + b² ***

e

( 3x - 2y)² = [ (3x)² - 2 * 3x * 2y + ( 2y)² ] = 9x² - 12xy + 4y² ***

f

( 5x + 3y)² = [ (5x)² + 2 * 5x * 3y + (3y)² ] = 25x² + 30xy + 9y² ***