Final answer:
The equivalent expression to (3x - 1)(-5x + 6) is found by applying the distributive property to multiply the two binomials and combining like terms, which results in -15x^2 + 23x - 6.
Step-by-step explanation:
The expression (3x - 1)(-5x + 6) is a multiplication of two binomials. To find an equivalent expression, we will apply the distributive property (also known as the FOIL method in this context). This involves multiplying each term of the first binomial by each term of the second binomial and combining like terms.
First, multiply 3x by -5x to get -15x^2.
Next, multiply 3x by 6 to get 18x.
Then, multiply -1 by -5x to get 5x.
Finally, multiply -1 by 6 to get -6.
Combine the like terms (18x + 5x) to yield 23x, resulting in the final expression of -15x^2 + 23x - 6.
Therefore, the equivalent expression to (3x - 1)(-5x + 6) is option D) -15x^2 + 23x - 6.