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1.十字相乘法分解因式:
(1)x2+3x+2 (2)x2﹣3x+2 (3)x2+2x﹣3 (4)x2﹣2x﹣3
(5)x2+5x+6 (6)x2﹣5x﹣6 (7)x2+x﹣6 (8)x2﹣x﹣6
(9)x2﹣5x﹣36 (10)x2+3x﹣18 (11)2x2﹣3x+1 (12)6x2+5x﹣6.
2.分解因式:
(1)2a+2a2+4a3 (2)5x3y﹣5xy (3)a2+b2
2、2ab﹣16
(4)4x3﹣8x2+4x (5)(x+y)2﹣2x﹣2y+1 (6)(m2﹣2m)2n+2n(m2﹣2m)+n
(7)(x2+y2﹣1)2﹣4x2y2 (8)a(2a﹣b)+2a(b﹣2a)2﹣a(b﹣2a)3.
3.(1)已知x2+4x+y2﹣2y+5=0,求x,y.
(2)a,b满足a(a+1)﹣(a2+2b)=1,求a2﹣4ab+4b2﹣2a+4b的值.
(3)已知a2+b2=5,a+b=3,求(a﹣b)2.
(4)已知x2﹣y2=20,求[(x﹣y)2+4xy][(x+y)2﹣4xy]的值.
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