x^4-2x^3+x^2 (2)3x^6-3x^2 (3)x^2-4xy-1+4y^2 因式分解
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x^4-2x^3+x^2 (2)3x^6-3x^2 (3)x^2-4xy-1+4y^2 因式分解
x^4 - 2x"' + x"
= x"( x" - 2x + 1 )
= x"( x - 1 )
3(x^6) - 3x"
= 3x"( x^4 - 1 )
= 3x"( x" - 1 )( x" + 1 )
= 3x"( x - 1 )( x + 1 )( x" + 1 )
x" - 4xy - 1 + 4y"
= x" - 2xy - 2xy + 4y" - 1
= x( x - 2y ) - 2y( x - 2y ) - 1
= ( x - 2y )" - 1"
= ( x - 2y - 1 )( x - 2y + 1 )
再问: 2x"-12x+18
再答: 2x" - 12x + 18 = 2( x" - 6x + 9 ) = 2( x" - 3x - 3x + 9 ) = 2[ x( x - 3 ) - 3( x - 3 ) ] = 2( x - 3 )"
= x"( x" - 2x + 1 )
= x"( x - 1 )
3(x^6) - 3x"
= 3x"( x^4 - 1 )
= 3x"( x" - 1 )( x" + 1 )
= 3x"( x - 1 )( x + 1 )( x" + 1 )
x" - 4xy - 1 + 4y"
= x" - 2xy - 2xy + 4y" - 1
= x( x - 2y ) - 2y( x - 2y ) - 1
= ( x - 2y )" - 1"
= ( x - 2y - 1 )( x - 2y + 1 )
再问: 2x"-12x+18
再答: 2x" - 12x + 18 = 2( x" - 6x + 9 ) = 2( x" - 3x - 3x + 9 ) = 2[ x( x - 3 ) - 3( x - 3 ) ] = 2( x - 3 )"
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