x^4+x^3+3x^2+2x+2,x^2+3ax-10a^2-x+2a,4x^2-y^2+2y-1

题目

x^4+x^3+3x^2+2x+2,x^2+3ax-10a^2-x+2a,4x^2-y^2+2y-1
x^4+x^3+3x^2+2x+2
x^2+3ax-10a^2-x+2a
4x^2-y^2+2y-1

答案

x^4 + x^3 + 3 x^2 + 2 x + 2 = (2 + x^2) (1 + x + x^2)x^2 + 3 a x - 10 a^2 - x + 2 a = -(2 a - x) (-1 + 5 a + x)4 x^2 - y^2 + 2 y - 1 = (1 + 2 x - y) (-1 + 2 x + y)x^4 + x^3 + 3x^2 + 2x+2 = (2 + x^2) (...