Which expression is equivalent to 12x^2+x-20 7 (3x+4)(4x-5) (3x-4)(4x+5) (4x+3)(5x-4) (4x-3)(5x+4)

To determine which expression is equivalent to $12x^{2}+x-20$, we need to expand each of the given options and see which one matches the given expression.<br /><br />Let's start with the first option: $(3x+4)(4x-5)$<br /><br />Expanding this expression, we get:<br />$(3x+4)(4x-5) = 3x(4x-5) + 4(4x-5)$<br />$= 12x^{2} - 15x + 16x - 20$<br />$= 12x^{2} + x - 20$<br /><br />This matches the given expression $12x^{2}+x-20$. Therefore, the correct answer is $(3x+4)(4x-5)$.