a^3+b^3/a^3+(a-b)^3=a+b/a+(a-b)证明前者等于后者,供参考x^3+y^3=(x+y)(x^2-xy+y^2)

Question

a^3+b^3/a^3+(a-b)^3=a+b/a+(a-b)
证明前者等于后者,供参考x^3+y^3=(x+y)(x^2-xy+y^2)

Answer 1

您这题目是不是这个样子的：（a^3+b^3）/[a^3+(a-b)^3]要是这样的话就好证明了（a^3+b^3）/[a^3+(a-b)^3]=(a+b)(a^2-ab+b^2)/[a+(a-b)][a^2-a(a-b)+(a-b)^2]=(a+b)(a^2-ab+b^2)/[a+(a-b)](a^2-ab+b^2)=(a+b)/[a+(a-b...