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

.(1 point)
Responses

−12x+15
negative 12 x plus 15

−12x2+15x
negative 12 x squared plus 15 x

12x2−15x
12 x squared minus 15 x

7x2+8x

1 answer

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

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

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

Now, combine these results: \[ -12x^2 + 15x \]

Thus, the correct response is: −12x² + 15x (negative 12 x squared plus 15 x).