分解因式(1)x²(x-y)+(y-x)(2)(x-3)(x+2)+4/25

3个回答

  • x"( x - y ) + ( y - x )

    = x"( x - y ) - ( x - y )

    = ( x - y )( x" - 1 )

    = ( x - y )( x - 1 )( x + 1 )

    ( x - 3 )( x + 2 ) + 25/4

    = x" + 2x - 3x - 6 + 6 + 1/4

    = x" - x + 1/4

    = x" - ( 2 / 2 )x + ( 1/2 )"

    = ( x - 1/2 )"

    [ ( x + 1 )/x ] / ( x - 1/x )

    = [ ( 1/x )( x + 1 ) ] / [ ( 1/x )( x" - 1 ) ]

    = ( x + 1 ) / [ ( x + 1 )( x - 1 ) ]

    = 1 / ( x - 1 )

    = 1 / [ ( √2 + 1 ) - 1 ]

    = 1 / ( √2 )

    = √2 / 2

    2x - 3 >= 1

    2x >= 4

    x >= 2

    ( x - 1 )/2 + 2 >= -x

    x - 1 + 4 >= -2x

    3x + 3 >= 0

    3x >= -3

    x >= -1

    注意:

    分子、分母如果写在同一行,

    就应该是分子除以分母,如【 分子 / 分母 】