(x+3)(x+4)+1/4和(x+4)(x+5)+1/4的因式分解

题目详情

(x+3)(x+4)+1/4 和 (x+4)(x+5)+1/4的因式分解

▼优质解答

答案和解析

答：
(x+3)(x+4)+1/4
=x^2+7x+12+1/4
=x^2+7x+49/4
=x^2+7x+(7/2)^2
=(x+7/2)^2
(x+4)(x+5)+1/4
=x^2+9x+20+1/4
=x^2+9x+(9/2)^2
=(x+9/2)^2

看了 (x+3)(x+4)+1/4...的网友还看了以下：