问题
填空题
分解因式:a2(x-1)+b2(1-x)=______.
答案
原式=a2(x-1)-b2(x-1)
=(x-1)(a2-b2)
=(x-1)(a+b)(a-b).
故答案为:(x-1)(a+b)(a-b).
分解因式:a2(x-1)+b2(1-x)=______.
原式=a2(x-1)-b2(x-1)
=(x-1)(a2-b2)
=(x-1)(a+b)(a-b).
故答案为:(x-1)(a+b)(a-b).