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

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