问题
解答题
将下列格式分解因式
(1)xy+x+y+1
(2)(x-1)(x+3)+4.
答案
(1)xy+x+y+1,
=x(y+1)+(y+1),
=(y+1)(x+1);
(2)(x-1)(x+3)+4,
=x2+3x-x-3+4,
=x2+2x+1,
=(x+1)2.
将下列格式分解因式
(1)xy+x+y+1
(2)(x-1)(x+3)+4.
(1)xy+x+y+1,
=x(y+1)+(y+1),
=(y+1)(x+1);
(2)(x-1)(x+3)+4,
=x2+3x-x-3+4,
=x2+2x+1,
=(x+1)2.