Question

(2x + 3)(3x + 4)
6x² + 17x + 7
6x² + 9x + 12
6x² + 8x + 12
6x² + 17x + 12

Explanation:

Step1: Apply FOIL method

$(2x+3)(3x+4) = 2x\cdot3x + 2x\cdot4 + 3\cdot3x + 3\cdot4$

Step2: Calculate each term

$= 6x^2 + 8x + 9x + 12$

Step3: Combine like terms

$= 6x^2 + (8x+9x) + 12 = 6x^2 + 17x + 12$

Answer:

D. $6x^2 + 17x + 12$