计算：(a+b-c)的平方乘（c-a-b)的立方＋（c-a-b)(a+b-c)的四次方

Question

计算：(a+b-c)的平方乘（c-a-b)的立方＋（c-a-b)(a+b-c)的四次方

Answer 1

（a+b-c）^2 * (c-a-b)^3 + (c-a-b)(a+b-c)^4
=[(-1)(c-a-b)]^2* (c-a-b)^3 + (c-a-b)[(-1)(c-a-b)]^4
=(c-a-b)^4+(c-a-b)^5
=(c-a-b)^4 +(c-a-b)^4(c-a-b)
=(c-a-b)^4(c-a-b+1)
祝你新年快乐哦>_