(1)化简:(x+3y)2+(2x+y)(x-y).(2)分解因式:x3-2x2y+xy2.
题型:解答题难度:一般来源:不详
(1)化简:(x+3y)2+(2x+y)(x-y). (2)分解因式:x3-2x2y+xy2. |
答案
(1)原式=x2+6xy+9y2+(2x+y)(x-y) =x2+6xy+9y2+2x2-2xy+xy-y2 =3x2+5xy+8y2; (2)原式=x(x2-2xy+y2)=x(x-y)2. |
举一反三
因式分 (1)25a-5a2; (2)(x-y)2+4xy. |
下列各式不能分解因式的是( )A.2x2-4x | B.x2+x+ | C.x2+9y2 | D.1-m2 |
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把3an+2+15an-1-45an分解因式是( )A.3(an+2+5an-1-15an) | B.3an(a2+5a-1-15) | C.3an-1(a3+5-15a-1) | D.3an-1(a3+5-15a) |
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(1)计算:(2a+1)(-2a-1) (2)化简:[4y(2x-y)-2x(2x-y)]÷(2x-y) (3)分解因式:4a2-3b(4a-3b) |
已知x-y=6,xy=-3,则xy2-x2y=______. |
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