因式分解 (1)x^2-12xy+36y^2 (2)4x-4x^2-1 (3)9(x-y)^2-1 30
因式分解(1)x^2-12xy+36y^2(2)4x-4x^2-1(3)9(x-y)^2-12(x-y)+4(4)(a-b)^2+4ab(5)(x^2+y^2)^2-4x...
因式分解
(1)x^2-12xy+36y^2
(2)4x-4x^2-1
(3)9(x-y)^2-12(x-y)+4
(4)(a-b)^2+4ab
(5)(x^2+y^2)^2-4x^2y^2 展开
(1)x^2-12xy+36y^2
(2)4x-4x^2-1
(3)9(x-y)^2-12(x-y)+4
(4)(a-b)^2+4ab
(5)(x^2+y^2)^2-4x^2y^2 展开
展开全部
x” - 12xy + 36y"
= x" - 2x(6y) + (6y)”
= ( x - 6y )”
4x - 4x" - 1
= -( 4x" - 4x + 1 )
= -[ (2x)” - 2(2x) + 1” ]
= -( 2x - 1 )”
9( x - y )" - 12( x - y ) + 4
= [ 3( x - y ) ]” - 2X2[ 3( x - y ) ] + 2"
= [ 3( x - y ) - 2 ]"
= ( 3x - 3y - 2 )”
( a - b )” + 4ab
= a" + b" - 2ab + 4ab
= a” + 2ab + b"
= ( a + b )"
( x" + y" )” - 4x"y"
= ( x" + y” )" - (2xy)”
= ( x" - 2xy + y" )( x" + 2xy + y” )
= ( x - y )"( x + y )"
= x" - 2x(6y) + (6y)”
= ( x - 6y )”
4x - 4x" - 1
= -( 4x" - 4x + 1 )
= -[ (2x)” - 2(2x) + 1” ]
= -( 2x - 1 )”
9( x - y )" - 12( x - y ) + 4
= [ 3( x - y ) ]” - 2X2[ 3( x - y ) ] + 2"
= [ 3( x - y ) - 2 ]"
= ( 3x - 3y - 2 )”
( a - b )” + 4ab
= a" + b" - 2ab + 4ab
= a” + 2ab + b"
= ( a + b )"
( x" + y" )” - 4x"y"
= ( x" + y” )" - (2xy)”
= ( x" - 2xy + y" )( x" + 2xy + y” )
= ( x - y )"( x + y )"
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