Question

(1-a^2)(1-b^2)-4ab. 因式分解

Answer 1

(1-a^2)(1-b^2)-4ab
=1-b²-a²+a²b²-4ab
=(1-2ab+a²信差型b²)-(a²+2ab+b²庆运)
=(1-ab)²-(a+b)²滑猜
=(1-ab+a+b)(1-ab-a-b)

Answer 2

(1-a^2)(1-b^2)-4ab
=1-a²-b²茄运并+a²b²-4ab
=(1-2ab+a²悄并b²)-(a²+2ab+b²颤迹)
=(1-ab)²-(a+b)²
=(1-ab+a+b)(1-ab-a-b)
=(1+a+b-ab)(1-a-b-ab)