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suma patratelor numerelor a=x la puterea a2a + x + 2 si bx la puterea a2a - x +1.........urgent

Răspuns :

a=x²+x+2
b=x²-x+1
a²+b²=(x²+x+2)²+(x²-x+1)²= x⁴+x²+4+2x³+4x²+4x +x⁴+x²+1- 2x³+2x²-2x=
=2x⁴+2x²+5+6x²+2x


vezi:

(a+b+c)²=a²+b²+c²-2ab+2ac-2bc
(a-b+c)²= a²+b²+c²+2ab+2ac+2bc