Question

Fie polinoamele P(X)=5X²-1; Q(X)=5X²+1; R(X)=X^4+2X²+1.
Aflați: a) P(X)+Q(X)-R(X); b) P(X)*Q(X); c) P(X)*R(X).

Answer 1

a)5x²-1+5x²+1-x⁴-2x²-1=
  -x⁴+8x²-1

b)(5x²-1)(5x²+1)=
    25x⁴-1

c)(5x²-1)(x⁴+2x²+1)=
   5x⁶+10x⁴+5x²-x⁴-2x²-1=
   5x⁶+9x⁴+3x²-1