Question

Use the Distributive Property to multiply:  −3x(4x−5)
A) 7x^2 + 8x
B) -12x^2 + 15x
C) -12x + 15
D) 12x^2 - 15x

Answer 1

To use the Distributive Property to multiply \(-3x(4x - 5)\), we distribute \(-3x\) to both terms inside the parentheses:

\[
-3x(4x) + (-3x)(-5)
\]

Calculating each term:

1. \(-3x(4x) = -12x^2\)
2. \((-3x)(-5) = 15x\)

Now, combine the two results:

\[
-12x^2 + 15x
\]

So, the simplified expression is:

\[
-12x^2 + 15x
\]

The correct answer is **B)** \(-12x^2 + 15x\).