Which trinomial is equivalent to 3(x-2)^2-2(x-1)?
3(x-2)^2-2(x-1)=3(x^2-4x+4)-2x+2=3x^2-12x+12-2x+2=3x^2-14x+14
Answer: 3x^2-14x+14
Step-by-step explanation: to solve the given problem, we have to expand the factored polynomial and do the product between the terms. Finally we have to group the similar terms and add them together:
\(3(x-2)^{2} -2(x-1)\)
\(3(x^{2}-4x+4)-2(x-1)\)
\(3x^{2} -12x+12-2x+2\)
\(3x^{2} -12x-2x+12+2\)
\(3x^{2} -14x+14\)