ax^2+bx^2-a^2x-b^2x-2abx+a^2b+ab^2 (x+1)(x+2)(x+3)-6*7*8 x^6+14x^4+49x^2+36

题目

ax^2+bx^2-a^2x-b^2x-2abx+a^2b+ab^2 (x+1)(x+2)(x+3)-6*7*8 x^6+14x^4+49x^2+36
3x^5-10x^4+8x^3-3x^2+10x-8

答案

1.原式=x^2(a+b)-x(a+b)^2+ab(a+b)=(a+b)(x^2-xa-xb+ab)=(a+b)[x(x-a)-b(x-a)]=(a+b)(x-b)(x-a)2.（x+1)(x+2)(x+3）- 6*7*8 = [(x+2)^3 - (x+2)] - (7^3 - 7) = (x+2)^3 - 7^3 - [(x+2) - 7] = (x+2 - 7)[ (x+2)^2 +...