(x+2)la puterea 2+2(2x-3)(2x+3)-(3x-2) la puterea 2

Răspuns :

[tex] {(x + 2)}^{2} + 2(2x - 3)(2x + 3) - {(3x - 2)}^{2} [/tex]

[tex] = {x}^{2} + 4x + 4 + 2 (4 {x}^{2} - 9) - (9 {x}^{2} - 12x + 4)[/tex]

[tex] = {x}^{2} + 4x + 4 + 8 {x}^{2} - 18 - {9x}^{2} + 12x - 4[/tex]

[tex] = 16x - 18[/tex]