Respuesta :
Answer:
The answer is 2x² + 11x + 12.
Step-by-step explanation:
You have apply Distributive Law,
[tex]a(m + n) = am + an[/tex]
So for this question :
[tex](2x + 3)(x + 4)[/tex]
[tex] = 2x(x) + 2x(4) + 3(x) + 3(4)[/tex]
[tex] = 2 {x}^{2} + 8x + 3x + 12[/tex]
[tex] = 2 {x}^{2} + 11x + 12[/tex]
[tex](2x + 3)(x + 4) \\ = 2x(x + 4) + 3(x + 4) \\ = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\ = {2x}^{2} + 8x + 3x + 12 \\ = {2x}^{2} + 11x + 12 \\ hope \: it \: helps[/tex]