Toán Lớp 8: Y-12/6y-36-6/6y-y2.Thực hiện tính
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Toán Lớp 8: Y-12/6y-36-6/6y-y2.Thực hiện tính
Comments ( 2 )
(y-12)/(6y-36) – 6/(6y-y^2)
= (y-12)/(6y-36) + 6/(y^2- 6y)
= (y-12)/(6 (y-6)) + 6/(y (y-6))
= ( y (y-12) + 6 . 6)/(6y (y-6))
= (y^2 – 12y + 36)/(6y (y-6))
= ( (y-6)^2)/(6y (y-6))
= (y-6)/(6y)
Giải đáp:
( y – 6 )/(6y)
Lời giải và giải thích chi tiết:
( y – 12 )/( 6y – 36 ) – 6/( 6y – y^2 ) ( y != 0 ; y != 6 )
= ( y – 12 )/( 6 . ( y – 6 )) – 6/( y . ( 6 – y ))
= ( y – 12 )/( 6 . ( y – 6 )) + 6/( y . ( y – 6 ))
= ( y . ( y – 12 ))/( 6y . ( y – 6 )) + ( 6 . 6 )/( 6y . ( y – 6 ))
= ( y^2 – 12y )/( 6y . ( y – 6 )) + 36/( 6y . ( y – 6 ))
= ( y^2 – 12y + 36 )/( 6y . ( y – 6 ))
= ( y^2 – 2 . y . 6 + 6^2 )/( 6y . ( y – 6 ))
= ( ( y – 6 )^2 )/( 6y . ( y – 6 ))
= ( y – 6 )/(6y)
Vậy ( y – 12 )/( 6y – 36 ) – 6/( 6y – y^2 ) = ( y – 6 )/(6y)