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(1)(½m^4n^2-1/3m³n²-¼m²n^4)÷(1/6mn)

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(1)(½m^4n^2-1/3m³n²-¼m²n^4)÷(1/6mn)²;下转(2)↓
(2)[(-3m²n)²+(-mn²)³]÷(-mn)²;(3)[(3x²y+2xy²)÷xy]²;(4)[(a+b)²-(a+b)(a-b)]÷(-b);(5)[(x+y)(2x+y)+(x+y)(x-y)]÷3x
(1)(½m^4n^2-1/3m³n²-¼m²n^4)÷(1/6mn)
(1)(½m^4n^2-1/3m³n²-¼m²n^4)÷(1/6mn)²
=(½m^4n^2-1/3m³n²-¼m²n^4)÷(1/36m²n²)
=(1/2乘36)m^(4-2)n^(2-2)-(1/3乘36)m^(3-2)n^(2-2)-(1/4乘36)m^(2-2)n^(4-2)
=18m²-12m-9n²
(2)
[(-3m²n)²+(-mn²)³]÷(-mn)²
=(9m^4n^2-m^3n^6)÷(m²n²)
=9m²-mn^4
(3)
[(3x²y+2xy²)÷xy]²
=(3x+2y)²
=9x²+12xy+4y²
(4)
[(a+b)²-(a+b)(a-b)]÷(-b)
=(a²+2ab+b²-a²+b²)÷(-b)
=(2b²+2ab)÷(-b)
=-2b-2a
(5)
[(x+y)(2x+y)+(x+y)(x-y)]÷3x
=(2x²+3xy+y²+x²-y²)÷3x
=(3x²+3xy)÷3x
=x+y