6x^2 + 17x + 12.

Step-by-step explanation:

(3x + 4)(2x + 3)

= 3x(2x + 3) + 4(2x + 3)

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

= 6x^2 + 17x + 12.

6x² + 17x + 12

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(3x + 4)(2x + 3)

= 3x(2x + 3) + 4(2x + 3) ← distribute both parenthesis

= 6x² + 9x + 8x + 12 ← collect like terms

= 6x² + 17x + 12 ← in expanded form

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