两道因式分解题在线急 !1.计算 (-2)^2012-(-2)^20112.已知x+y=5,xy=6.求x(x+y)(x-y)-x(x+y)^2 的值

2019-05-28

两道因式分解题在线急 !
1.计算 (-2)^2012-(-2)^2011
2.已知x+y=5,xy=6.求x(x+y)(x-y)-x(x+y)^2 的值

优质解答

(-2)^2012-(-2)^2011
=2^2012+2^2011
=2^2011(2+1)
=3*2^2011
x(x+y)(x-y)-x(x+y)^2
=x[x²-y²-(x+y)²]
=x(x²-y²-x²-2xy-y²)
=x(-2xy-2y²)
=-2xy(x+y)
=-2×6×5
=-60 (-2)^2012-(-2)^2011
=2^2012+2^2011
=2^2011(2+1)
=3*2^2011
x(x+y)(x-y)-x(x+y)^2
=x[x²-y²-(x+y)²]
=x(x²-y²-x²-2xy-y²)
=x(-2xy-2y²)
=-2xy(x+y)
=-2×6×5
=-60