Question

2012的立方-2*2012-2010/2012的立方+2012的平方-2013

Answer 1

令2012=n

(2012³-2×2012-2010)÷(2012³+2012²-2013)
=(n³-3n+2)÷(n³+n²-n-1)
=(n³-2n²+2n²+n-4n+2)÷(n³+n²-n-1)
=[(n³-2n²+n)+(2n²-4n+2)]÷[(n³+n²)-(n+1)]
=[n(n-1)²+2(n-1)²]÷[n²(n+1)-(n+1)]
=(n+2)(n-1)²÷(n²-1)(n+1)
=(n+2)(n-1)²÷(n+1)²(n-1)
=(n+2)(n-1)÷(n+1)²
=2014×2011÷2013²
=4050154/4052169

Answer 2

令2012=n
(2012³-2×2012-2010)÷(2012³+2012²-2013)

=(n³-3n+2)÷(n³+n²-n-1)
=(n³-2n²+2n²+n-4n+2)÷(n³+n²-n-1)
=[(n³-2n²+n)+(2n²-4n+2)]÷[(n³+n²)-(n+1)]
=[n(n-1)²+2(n-1)²]÷[n²(n+1)-(n+1)]
=(n+2)(n-1)²÷(n²-1)(n+1)
=(n+2)(n-1)²÷(n+1)²(n-1)
=(n+2)(n-1)÷(n+1)²
=2014×2011÷2013²
=4050154/4052169

Answer 3

2010/2013

Answer 4

1