Question

aratati daca n=(2x^2-3x+4)(2x^2-3x+2)+1 este p.p
urgent va roooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooggggggggggggggggggggg!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

n=(2x²-3x+4)(2x²-3x+2)+1
Notam 2x²-3x+2=t
n=(t+2)t+1
n=t²+2t+1
n=(t+1)²
n=(2x²-3x+2+1)²
n=(2x²-3x+3)²⇒ n este patrat perfect