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Multiply.

(-3x+4)(2x-1)

1 Answer

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Final answer:

To multiply the expressions (-3x+4) and (2x-1), apply the distributive property to get -6x^2 + 11x - 4 after simplifying.

Step-by-step explanation:

The student has asked to multiply the expressions (-3x+4) and (2x-1). To do this, we use the distributive property, sometimes known as FOIL (First, Outer, Inner, Last) in multiplying two binomials:

  1. Multiply the First terms: (-3x) × (2x) = -6x^2.
  2. Multiply the Outer terms: (-3x) × (-1) = +3x.
  3. Multiply the Inner terms: (4) × (2x) = 8x.
  4. Multiply the Last terms: (4) × (-1) = -4.

Combine all these products to get the final result:

-6x^2 + 3x + 8x - 4

Simplify by combining like terms:

-6x^2 + 11x - 4

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