若a2+a-1=0,则a3+2a2+2013=______.
题型:填空题难度:简单来源:不详
若a2+a-1=0,则a3+2a2+2013=______. |
答案
∵a2+a-1=0, ∴a2+a=1; a3+2a2+2013 =a3+a2+a2+2013 =a(a2+a)+a2+2013 =a+a2+2013 =1+2013 =2014. 故答案为:2004. |
举一反三
下列分解因式正确的是( )A.2x2-xy-x=2x(x-y-1) | B.-x2+2xy-3y=-y(xy-2x-3) | C.x(x-y)-y(x-y)=(x-y)2 | D.x2-x-3=x(x-1)-3 |
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把下列各式因式分解: (1)3x-12x3 (2)-2a3+12a2-18a (3)9a2(x-y)+4b2(y-x) (4)(x+y)2+2(x+y)+1. |
已知:x+y=1,xy=-3,求下列各式的值: (1)x2+y2; (2)x3+y3; (3)x5y+xy5. |
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