Which expression is equivalent to -27x^2+15x a 3x(9x+5) b -3x(9x+5) C 3x(9x-5) d -3x(9x-5)

To determine which expression is equivalent to $-27x^{2}+15x$, we need to factor the given expression.<br /><br />First, let's factor out the greatest common factor (GCF) from the expression $-27x^{2}+15x$.<br /><br />The GCF of $-27x^{2}$ and $15x$ is $-3x$.<br /><br />So, we can rewrite the expression as:<br />$-3x(9x-5)$<br /><br />Therefore, the expression equivalent to $-27x^{2}+15x$ is $-3x(9x-5)$.<br /><br />The correct answer is option d: $-3x(9x-5)$.