Question

Produtos Notáveis

a) (5x - 7a)² =


b) (3a - 4)² =


c) (7x - 3)² =


d) (6x - 5y)² =


e) (5x - 6y)² =


f) (a - 3x)² =


g) (2x + 3y)² =

Answer 1

a) (5x - 7a)² = (5x - 7a) . (5x - 7a)

= 25x² - 35ax - 35ax + 49a²

= 25x² - 70ax + 49a²

b) (3a - 4)² = (3a - 4) . (3a - 4)

= 9a² - 12a - 12a + 16

= 9a² - 24a + 16

c) (7x - 3)² = (7x - 3) . (7x - 3)

= 49x² - 21x - 21x + 9

= 49x² - 42x + 9

d) (6x - 5y)² = (6x - 5y) . (6x - 5y)

= 36x² - 30xy - 30xy + 25y²

= 36x² - 60xy + 25y²

e) (5x - 6y)² = (5x - 6y) . (5x - 6y)

= 25x² - 30xy - 30xy + 36y²

= 25x² - 60xy + 36y²

f) (a - 3x)² = (a - 3x) . (a - 3x)

= a² - 3ax - 3ax + 9x²

= a² - 6ax + 9x²

g) (2x + 3y)² = (2x + 3y) . (2x + 3y)

= 4x² + 6xy + 6xy + 9y²

= 4x² + 12xy + 9y²