(1)ax2-2ax+a(2)x2(x-y)+(y-x)(3)xy-xb+ay-ab(4)(x2+1)2-4x2.
题型:解答题难度:一般来源:不详
(1)ax2-2ax+a (2)x2(x-y)+(y-x) (3)xy-xb+ay-ab (4)(x2+1)2-4x2. |
答案
(1)原式=a(x2-2x+1) =a(x-1)2;
(2)原式=x2(x-y)-(x-y) =(x-y)(x2-1) =(x-y)(x+1)(x-1);
(3)原式=x(y-b)+a(y-b) =(y-b)(x+a);
(4)原式=(x2+1+2x)(x2+1-2x) =(x+1)2(x-1)2. |
举一反三
下列各式因式分解错误的是( )A.1-9a2=(1+3a)(1-3a) | B.a2-a+=(a-)2 | C.-mx+my=-m(x+y) | D.-1+a2b2=(ab+1)(ab-1) |
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分解因式: (1)3x-12x3 (2)x2+y2-1-2xy. |
将下列多项式因式分解 (1)2x3-8x (2)n(m-2)-2(2-m) (3)mn2+6mn+9m (4)(ab+a)+(b+1) |
化简再求值 (1)a(a+b)-(a-b)(a+b)-b2,其中a=0.252012,b=42012 (2)已知x+y=12,xy=20,求x(x+y)(x-y)-x(x+y)2的值. |
已知:a-b=3,则a2+b2-2ab-8a+8b+16=( ) |
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