Question

因式分解(a+b)²+4ab

Answer 1

(a+b)²+4ab 这个没法分解：

改成(a-b)²+4ab 则有：
(a-b)²+4ab
=a²-2ab+b²+4ab
=a²+2ab+b²
=(a+b)²

Answer 2

(a+b)²+4ab
= (a+b)² - [√(2ab) i]²
= [ a+b + √(2ab) i ] [ a+b - √(2ab) i ]

Answer 3

应该是(a-b)²+4ab

=a²-2ab+b²+4ab
=a²+2ab+b²
=(a+b)²

Answer 4

(a+b)²+4ab=a²+b²+6ab=[a- (-6b+4b√2)/2][a- (-6b-4b√2)/2]
=[a- (-3b+2b√2)][a- (-3b-2b√2)/]
=[a+(3-2√2)b][a+ (3+2√2)b]

Answer 5

a2+6ab+b2