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