Question

1 - Aplicando as regras dos produtos notáveis, calcule:

a) (2x+1)² e) (m-3)²

b) (3x+2)² f) (x+9) (x-9)

c) (5+2m)² g) (3x+5) (3x-5)

d) (2a-5)² h) (x+4) (x-4)

Answer 1

=> a) (2x + 1)² = (2x+1).(2x+1) = 4x² + 2x + 2x + 1² = 4x² + 4x + 1

=> b) (3x + 2)² = (3x+2)(3x+2) = 9x² + 6x + 6x + 2² = 9x² + 12x + 4

=> c) (5 + 2m)² = (5+2m)(5+2m) = 5² + 10m + 10m + 4m² = 25 + 20m + 4m²

=> d) (2a - 5)² = (2a - 5)(2a - 5) = 4a² - 10a -10a + 5² = 4a² - 10a + 25
 
=> e) (m - 3)² = (m - 3)(m - 3) = m² -3m - 3m + 3² = m² - 6m + 9

=> f) (x + 9)(x - 9) = x² - 9x + 9x - 9² = x² - 9²

=> g) (3x + 5)(3x - 5) = 9x² - 15x + 15x - 5² = 9x² - 25

=> h) (x + 4)(x - 4) = x² - 4x + 4x - 4² = x² - 16



Espero ter ajudado