Question

Simplificando a expressão 2*(x-2)*(x-3)^3-3*(x-2)^2*(x-3)^2 obtém-se :

Answer 1

$2(x-2)(x-3)^{3} -3(x-2)^{2}(x-3)^{2}\\(2x-4)*(x-3)^{3}-3*(x^{2}-4x+4)*(x-3)^{2}\\(2x-4)*(x^{3}-9x^{2}+27x-27)-(3x^{2}-12x+12)*(x-3)^{2}\\\\(2x^{4}-22x^{3}+90x^{2}-162x+108)-(3x^{2}-12x+12)*(x^{2}-6x+9)\\\\(2x^{4}-22x^{3}+90x^{2}-162x+108)-(3x^{4}-30x^{3}+111x^{2}-180x+108)\\\\-x^{4}+8x^{3}-21x^{2}+18x$