问题 解答题

把下列各式因式分

(1)2xy2+4x2

(2)x2+6xy+9y2

(3)x2-y2+2y-1(分组分解法);      

(4)a2+4a+3(“十”字相乘法).

答案

(1)2xy2+4x2=2x(y+2x);

(2)x2+6xy+9y2=(x+3y)2

(3)x2-y2+2y-1

=x2-(y2-2y+1)

=x2-(y-1)2

=(y-1+x)(x-y+1);

(4)a2+4a+3=(a+1)(a+3).

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