Răspuns:
Explicație pas cu pas:
P(x) = 5x²-1
Q(x) = 5x²+1
R(x) = x⁴+2x²+1 = (x²+1)²
P(x)·Q(x) = (5x²-1)·(5x²+1) = 25x⁴-1
P(x)·R(x) = (5x²-1)·(x⁴+2x²+1) = 5x⁶+10x⁴+5x²-x⁴-2x²-1 =
= 5x⁶+9x⁴+3x²-1
P(x)·Q(x) - R(x) = 25x⁴-1 - (x⁴+2x²+1) =
= 25x⁴-1-x⁴-2x²-1 = 24x⁴-2x²-2
