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(x-2)(x+2)(x la a 2-a+4)-(xla a 2-a-1) la a 2a

Răspuns :

(x-2)(x+2)(x²+4)-(x²-1)²=
=(x²-4)(x²+4)-(x²-1)²=
=(x⁴-16)-(x²-1)²=
=x⁴-16-(x⁴-2x²+1)=
=x⁴-16-x⁴+2x²-1=
=2x²-17=
=(x√2-√17)(x√2+√17)