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(2x-3)^2-(2x-3)(3x+2)^2=?

Răspuns :

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

[tex] = {(2x - 3)}^{2} - (2x - 3)(9 {x}^{2} + 12x + 4)[/tex]

[tex] = (2x - 3)(2x - 3 - 9 {x}^{2} - 12x - 4)[/tex]

[tex] = (2x - 3)( - 9 {x}^{2} - 10x - 7)[/tex]

[tex] = - 18 {x}^{3} - 20 {x}^{2} - 14x + 27 {x}^{2} + 30x + 21[/tex]

[tex] = - 18 {x}^{3} + 7 {x}^{2} + 16x + 21[/tex]