Question

Dara deiter (3x + 5)² qual terima dever
adicionado ao trinômio 9x² + 12x +25

Answer 1

Resposta:

$(3x + 5)² = (3x + 5) \times (3x + 5) \\ = 3x(3x + 5) + 5(3x + 5) \\ = 9 {x}^{2} + 15x + 15x + {5}^{2} \\ 9 {x}^{2} + 2.15x + {5}^{2} \\ = 9 {x}^{2} + 30x + 25$

$9x ^{2} + 30x + 25 + 9 {x}^{2} + 12x + 25 \\ = 9x^{2} + {9x}^{2} + 30x + 12x + 25 + 25 \\ = 18 {x}^{2} + 42x + 50$