Answer: 4) 3x²-14x+14
Step-by-step explanation:
3(x-2)²-2(x-1)
Use the binomial theorem (a−b)² = a² - 2ab + b² to expand (x-2)².
3(x²-4x+4)-2(x-1)
Use the distributive property to multiply 3 by x²-4x+4.
3x²-12x+12-2(x-1)
Use the distributive property to multiply −2 by x−1.
3x²-12x+12-2x+2
Combine −12x and −2x to get −14x.
3x²−14x+12+2
Add 12 and 2 to get 14.
3x²-14x+14
It is 3x²+14x+14, the trinomial equivalent to 3(x-2)²-2(x-1). OPTION 4.