Question

Simplifique as expressões.

a) (× + 2)² + (× + 3)² + (× + 4)² + (× + 5)²

b) (2a + b)² - (a - b)²

Answer 1

Resposta:

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 + 54

B)

(2a + b)² - (a - b)²

4a² + 4ab + b² - (a² - 2ab + b²)

4a² + 4ab + b² - a² + 2ab - b²

3a² + 6ab

Answer 2

Explicação passo-a-passo:

$a)(x + 2 {)}^{2} + (x + 3 {)}^{2} + (x + 4 {)}^{2} + (x + 5 {)}^{2} \\ {x}^{2} + 4x + 4 + {x}^{2} + 6x + 9 + {x}^{2} + 8x + 16 + {x}^{2} + 10x + 25 \\ {4x}^{2} + 28x + 54 \\ \\ b)(2a + b {)}^{2} - (a - b {)}^{2} \\ {4a}^{2} + 4ab + {b}^{2} - ( {a}^{2} - 2ab + {b}^{2} ) \\ {4a}^{2} + 4ab + {b}^{2} - {a}^{2} - 2ab + {b}^{2} \\ {3a}^{2} + 6ab$

• Espero ter ajudado.