👤

13) Efectuați: a (x-2)(x + 2)(x^2 + 4) - (x^2+ 1)^2+ 2(x + 1)^2.
b (x + 4)(x^2-3) - x^2(x + 2)^2 + (x - 1)^2​


Răspuns :

Răspuns:

a.

[tex](x ^{2} - 4)(x ^{2} + 4) - (x ^{2} + 1) ^{2} + 2(x + 1) ^{2} = {x}^{4} - 16 - {x}^{4} - 2 {x}^{2} - 1 + 2 {x}^{2} + 4x + 2 = 4x - 16 - 1 + 2 = 4x - 15[/tex]

b.

[tex] {x}^{3} - 3x + 4 {x}^{2} - {x}^{4} - 4 {x}^{3} - 4 {x}^{2} + {x}^{2} - 2x + 1 = - {x}^{4} - 3 {x}^{3} \times {x}^{2} - 5x - 11[/tex]