Ilusstrattioonask
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Ex3p 65 fie polinoamele P(X)=5X2-1; Q(X)=5X2+1;R(X)=X4+2X2+1 AFLATI
b) P(X)*Q(X)
v) P(X)*R(X)
g) P(X)*Q(X)-R(X)

Răspuns :

102533ask

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

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