因式分解a(x+y)平方-4ax-4ay+4a

题目

因式分解a(x+y)平方-4ax-4ay+4a

答案

a(x + y)² - 4ax - 4ay + 4a
= a(x + y)² - 4a(x + y) + 4a
= a((x + y)² - 4(x + y) + 4)
= a(x + y - 2)²