Answer: 12x^2 - 13x - 14
Choice D
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Work Shown:
Let y = (3x+2)
Replace (3x+2) with y and we go from (3x+2)(4x-7) to y(4x-7)
Distribute this y through: y(4x-7) = 4xy - 7y
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Now replace y with (3x+2), distribute again, and simplify
4xy - 7y
4x(3x+2) - 7(3x+2)
4x(3x)+4x(2) - 7(3x) - 7(2)
12x^2 + 8x - 21x - 14
12x^2 - 13x - 14