Question

Efectuati calculele :
a) (x+1)(x-1)(x^2+1)(x^4+1)
b) (x-3)(x+3)(x^2+9)
c) (x-2)(x+2)(x^2+4(x^2+16)
d) (x+5)(x^2+25)(x-5)

Answer 1

a)(x+1)(x-1)(x²+1)(x⁴+1)
=(x²-1)(x²+1)(x⁴+1)
=(x⁴-1)(x⁴+1)
=x^8-1
b)(x-3)(x+3)(x²+9)
=(x²-9)(x²+9)
=x⁴-81
c)(x-2)(x+2)(x²+4)(x²+16)
=(x²-4)(x²+4)(x⁴+16) (aici cred ca e x⁴ nu x²)
=(x⁴-16)(x⁴+16)
=x^8-256
d)(x+5)(x²+25)(x-5)
=(x+5)(x-5)(x²+25)
=(x²-25)(x²+25)
=x⁴-625