Question

Simplifique as expressões.
a) (x + 2)^2 + (x + 3)^2 + (x + 4)^2 + (x + 5)^2
b) (2a + b)^2- (a - b)^2​

Answer 1

Resposta:

Explicação passo-a-passo:

a) (x + 2)² + (x + 3)² + (x + 4)² + (x + 5)² = x² + 4x + 4 + x² + 6x + 9 + x² + 8x + 16 + x² + 10x + 25 = 4x² + 28x + 64 = 4(x² + 7x + 16)

b) (2a + b)² - (a - b)² = 4a² + 4ab + b² - (a² - 2ab + b²) = 4a² + 4ab + b² - a² + 2ab - b² = 3a² + 6ab = 3(a² + 2ab)