问题
填空题
分解因式:
a(x2+y2)+b(-x2-y2)=______;
a(m-n)3-b(n-m)3=______.
答案
a(x2+y2)+b(-x2-y2)
=a(x2+y2)-b(x2+y2)
=(x2+y2)(a-b);
a(m-n)3-b(n-m)3
=a(m-n)3+b(m-n)3
=(m-n)3(a+b).
故答案为:(x2+y2)(a-b);(m-n)3(a+b).
分解因式:
a(x2+y2)+b(-x2-y2)=______;
a(m-n)3-b(n-m)3=______.
a(x2+y2)+b(-x2-y2)
=a(x2+y2)-b(x2+y2)
=(x2+y2)(a-b);
a(m-n)3-b(n-m)3
=a(m-n)3+b(m-n)3
=(m-n)3(a+b).
故答案为:(x2+y2)(a-b);(m-n)3(a+b).