Question

因式分解 练习题(a+b)^2(ab-1)+1

Answer 1

(a+b)²(ab-1)+1

=ab(a+b)²-(a+b)²+1

=(a²+ab)(ab+b²)-[(a²+ab)+(ab+b²)]+1

=[(a²+ab)-1][(ab+b²)-1]

=(a²+ab-1)(ab+b²-1)