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分解因式:1+a+a(a+1)+a(a+1)的平方+a(a+1)的三次方

题目详情
分解因式:1+a+a(a+1)+a(a+1)的平方+a(a+1)的三次方
▼优质解答
答案和解析
1 + a + a(a + 1) + a(a + 1)" + a(a + 1)^3
= (a + 1) + a(a + 1) + a(a + 1)" + a(a + 1)^3
= [a + 1](1 + a) + a(a + 1)" + a(a + 1)^3
= (a + 1)" + a(a + 1)" + a(a + 1)^3
= [1 + a](a + 1)" + a(a + 1)^3
= (a + 1)^3 + a(a + 1)^3
= [1 + a](a + 1)^3
= (a + 1)^4