áp dụng bài hc sẽ ra
Trả lời:
a, ax - ay + bx - by = ( ax - ay ) + ( bx - by ) = a ( x - y ) + b ( x - y ) = ( x - y )( a + b )
b, ax - ay + bx - by (trùng ý a)
c, x2 + xy + ax + ay = ( x2 + xy ) + ( ax + ay ) = x ( x + y ) + a ( x + y ) = ( x + y )( x + a )
d, x2y + xy2 - x - y = ( x2y - x ) + ( xy2 - y ) = x ( xy - 1 ) + y ( xy - 1 ) = ( xy - 1 )( x + y )
e, x2y - xy2 - 5x + 5y = ( x2y - xy2 ) - ( 5x - 5y ) = xy ( x - y ) - 5 ( x - y ) = ( x - y )( xy - 5 )
f, 2x2 + 2xy - x - y = ( 2x2 + 2xy ) - ( x + y ) = 2x ( x + y ) - ( x + y ) = ( x + y )( 2x - 1 )
g, x2y - 4x + xy2 - 4y = ( x2y - 4x ) + ( xy2 - 4y ) = x ( xy - 4 ) + y ( xy - 4 ) = ( xy - 4 )( x + y )
h, x4 + x3 + x + 1 = ( x4 + x3 ) + ( x + 1 ) = x3 ( x + 1 ) + ( x + 1 ) = ( x + 1 )( x3 + 1 ) = ( x + 1 )( x + 1 )( x2 - x + 1 ) = ( x + 1 )2( x2 - x + 1)
i, x4 - x3 - x + 1 = ( x4 - x3 ) - ( x - 1 ) = x3 ( x - 1 ) - ( x - 1 ) = ( x - 1 )( x3 - 1 ) = ( x - 1 )( x - 1 )( x2 + x + 1 ) = ( x - 1 )2( x2 + x + 1 )
j, x2 + x - y2 + y = ( x2 - y2 ) + ( x + y ) = ( x + y ) ( x - y ) + ( x + y ) = ( x + y )( x - y + 1 )
k, 4x2 - 9y2 + 4x - 6y = ( 4x2 - 9y2 ) + ( 4x - 6y ) = ( 2x - 3y ) ( 2x + 3y ) + 2 ( 2x - 3y ) = ( 2x - 3y )( 2x + 3y + 2 )
l, x2 + x + 2xy + y + y2 = ( x2 + 2xy + y2 ) + ( x + y ) = ( x + y )2 + ( x + y ) = ( x + y )( x + y + 1 )
m, 16x2 - 9 - 24xy + 9y2 = ( 16x2 - 24xy + 9y2 ) - 9 = ( 4x - 3y )2 - 32 = ( 4x - 3y - 3 )( 4x - 3y + 3 )
n, 4x2 - 4xy - 1 + y2 = ( 4x2 - 4xy + y2 ) - 1 = ( 2x - y ) - 1 = ( 2x - y - 1 )( 2x - y + 1 )
o, Sửa đề: x2 - x - 2xy + y + y2 = ( x2 - 2xy + y2 ) - ( x - y ) = ( x - y )2 - ( x - y ) = ( x - y )( x - y - 1 )
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