Use the Distributive Property to multiply: -3x (4x - 5)

Answer 1

To use the Distributive Property to multiply \(-3x\) by \((4x - 5)\), you will distribute \(-3x\) to both terms inside the parentheses.

Here's how it works step by step:

1. Multiply \(-3x\) by \(4x\): \[ -3x \cdot 4x = -12x^2 \]

2. Multiply \(-3x\) by \(-5\): \[ -3x \cdot -5 = 15x \]

3. Combine the results: \[ -3x (4x - 5) = -12x^2 + 15x \]

So, the final result is: \[ -12x^2 + 15x \]